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5525102005344 = 2532532731132541
BaseRepresentation
bin101000001100110100110…
…1111100000110001100000
3201120012020212011211111100
41100121221233200301200
51211010402103132334
615430110302514400
71110114115106535
oct120315157406140
921505225154440
105525102005344
111840201052119
12752975595a00
13311026911a2c
141515b8706d8c
1598ac1e75c99
hex50669be0c60

5525102005344 has 144 divisors (see below), whose sum is σ = 16014444408144. Its totient is φ = 1806276326400.

The previous prime is 5525102005279. The next prime is 5525102005349. The reversal of 5525102005344 is 4435002015255.

5525102005344 is a `hidden beast` number, since 5 + 52 + 51 + 0 + 20 + 0 + 534 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5525102005299 and 5525102005308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5525102005349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41619714 + ... + 41752254.

It is an arithmetic number, because the mean of its divisors is an integer number (111211419501).

Almost surely, 25525102005344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5525102005344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8007222204072).

5525102005344 is an abundant number, since it is smaller than the sum of its proper divisors (10489342402800).

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

5525102005344 is a wasteful number, since it uses less digits than its factorization.

5525102005344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135341 (or 135330 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 5525102005344 in words is "five trillion, five hundred twenty-five billion, one hundred two million, five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 212 288 318 424 477 636 848 954 1272 1696 1908 2544 2731 3816 5088 5462 7632 8193 10924 15264 16386 21848 24579 32772 43696 49158 65544 87392 98316 131088 132541 144743 196632 262176 265082 289486 393264 397623 434229 530164 578972 786528 795246 868458 1060328 1157944 1192869 1302687 1590492 1736916 2120656 2315888 2385738 2605374 3180984 3473832 4241312 4631776 4771476 5210748 6361968 6947664 7024673 9542952 10421496 12723936 13895328 14049346 19085904 20842992 21074019 28098692 38171808 41685984 42148038 56197384 63222057 84296076 112394768 126444114 168592152 224789536 252888228 337184304 361969471 505776456 674368608 723938942 1011552912 1085908413 1447877884 2023105824 2171816826 2895755768 3257725239 4343633652 5791511536 6515450478 8687267304 11583023072 13030900956 17374534608 19184381963 26061801912 34749069216 38368763926 52123603824 57553145889 76737527852 104247207648 115106291778 153475055704 172659437667 230212583556 306950111408 345318875334 460425167112 613900222816 690637750668 920850334224 1381275501336 1841700668448 2762551002672 5525102005344