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152035041320 = 23519972398629
BaseRepresentation
bin1000110110010111111…
…1101010000000101000
3112112102120202022202022
42031211333222000220
54442331432310240
6153502142324012
713661366346221
oct2154577520050
9475376668668
10152035041320
11595288a9888
1225570289608
131144c075316
147503b6c248
153e4c5b49b5
hex2365fea028

152035041320 has 128 divisors (see below), whose sum is σ = 365359680000. Its totient is φ = 56774172672.

The previous prime is 152035041287. The next prime is 152035041329. The reversal of 152035041320 is 23140530251.

It is a happy number.

It is a super-2 number, since 2×1520350413202 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 152035041320.

It is not an unprimeable number, because it can be changed into a prime (152035041329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17614766 + ... + 17623394.

It is an arithmetic number, because the mean of its divisors is an integer number (2854372500).

Almost surely, 2152035041320 is an apocalyptic number.

152035041320 is a gapful number since it is divisible by the number (10) 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 152035041320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182679840000).

152035041320 is an abundant number, since it is smaller than the sum of its proper divisors (213324638680).

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

152035041320 is a wasteful number, since it uses less digits than its factorization.

152035041320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8995 (or 8991 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 152035041320 its reverse (23140530251), we get a palindrome (175175571571).

The spelling of 152035041320 in words is "one hundred fifty-two billion, thirty-five million, forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 97 152 190 194 239 380 388 478 485 760 776 956 970 1195 1843 1912 1940 2390 3686 3880 4541 4780 7372 8629 9082 9215 9560 14744 17258 18164 18430 22705 23183 34516 36328 36860 43145 45410 46366 69032 73720 86290 90820 92732 115915 163951 172580 181640 185464 231830 327902 345160 440477 463660 655804 819755 837013 880954 927320 1311608 1639510 1674026 1761908 2062331 2202385 3279020 3348052 3523816 4124662 4185065 4404770 6558040 6696104 8249324 8370130 8809540 10311655 15903247 16498648 16740260 17619080 20623310 31806494 33480520 39184289 41246620 63612988 78368578 79516235 82493240 127225976 156737156 159032470 195921445 200046107 313474312 318064940 391842890 400092214 636129880 783685780 800184428 1000230535 1567371560 1600368856 2000461070 3800876033 4000922140 7601752066 8001844280 15203504132 19004380165 30407008264 38008760330 76017520660 152035041320