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32302113132032 = 2910719315971913
BaseRepresentation
bin1110101100000111010111…
…11110101000111000000000
311020101001101210200212101122
413112003223332220320000
513213214211430211112
6152411215205051412
76542515322216462
oct726035376507000
9136331353625348
1032302113132032
11a324281826547
1237584483b6b68
1315040cb53a3b3
147d9605886132
153b03bac23872
hex1d60ebfa8e00

32302113132032 has 160 divisors (see below), whose sum is σ = 65557114156512. Its totient is φ = 15898927693824.

The previous prime is 32302113132031. The next prime is 32302113132049. The reversal of 32302113132032 is 23023131120323.

It is a junction number, because it is equal to n+sod(n) for n = 32302113131992 and 32302113132010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32302113132031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16885578308 + ... + 16885580220.

Almost surely, 232302113132032 is an apocalyptic number.

32302113132032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32302113132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32778557078256).

32302113132032 is an abundant number, since it is smaller than the sum of its proper divisors (33255001024480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

32302113132032 is a wasteful number, since it uses less digits than its factorization.

32302113132032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3828 (or 3812 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 32302113132032 its reverse (23023131120323), we get a palindrome (55325244252355).

The spelling of 32302113132032 in words is "thirty-two trillion, three hundred two billion, one hundred thirteen million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 107 128 193 214 256 386 428 512 772 856 1544 1597 1712 1913 3088 3194 3424 3826 6176 6388 6848 7652 12352 12776 13696 15304 20651 24704 25552 27392 30608 41302 49408 51104 54784 61216 82604 98816 102208 122432 165208 170879 204416 204691 244864 308221 330416 341758 369209 408832 409382 489728 616442 660832 683516 738418 817664 818764 979456 1232884 1321664 1367032 1476836 1637528 2465768 2643328 2734064 2953672 3055061 3275056 4931536 5286656 5468128 5907344 6110122 6550112 9863072 10573312 10936256 11814688 12220244 13100224 19726144 21872512 23629376 24440488 26200448 32979647 39452288 39505363 43745024 47258752 48880976 52400896 65959294 78904576 79010726 87490048 94517504 97761952 104801792 131918588 157809152 158021452 189035008 195523904 263837176 316042904 326891527 391047808 527674352 589626773 632085808 653783054 782095616 1055348704 1179253546 1264171616 1307566108 1564191232 2110697408 2358507092 2528343232 2615132216 4221394816 4717014184 5056686464 5230264432 8442789632 9434028368 10113372928 10460528864 16885579264 18868056736 20226745856 20921057728 37736113472 41842115456 63090064711 75472226944 83684230912 126180129422 150944453888 167368461824 252360258844 301888907776 504720517688 1009441035376 2018882070752 4037764141504 8075528283008 16151056566016 32302113132032