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152865141744 = 24371923945041
BaseRepresentation
bin1000111001011101111…
…0001111001111110000
3112121120102201210110110
42032113132033033300
510001031434013434
6154120354301320
714021066160120
oct2162736171760
9477512653413
10152865141744
1159914429597
1225762287840
1311552036ac3
1475820d0c80
153e9a3d54e9
hex239778f3f0

152865141744 has 80 divisors (see below), whose sum is σ = 475069633280. Its totient is φ = 41377029120.

The previous prime is 152865141733. The next prime is 152865141761. The reversal of 152865141744 is 447141568251.

It is a super-2 number, since 2×1528651417442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 152865141693 and 152865141702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11966137 + ... + 11978904.

It is an arithmetic number, because the mean of its divisors is an integer number (5938370416).

Almost surely, 2152865141744 is an apocalyptic number.

152865141744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

152865141744 is an abundant number, since it is smaller than the sum of its proper divisors (322204491536).

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

152865141744 is a wasteful number, since it uses less digits than its factorization.

152865141744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23945078 (or 23945072 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 48.

The spelling of 152865141744 in words is "one hundred fifty-two billion, eight hundred sixty-five million, one hundred forty-one thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 912 1064 1596 2128 3192 6384 23945041 47890082 71835123 95780164 143670246 167615287 191560328 287340492 335230574 383120656 454955779 502845861 574680984 670461148 909911558 1005691722 1149361968 1340922296 1364867337 1819823116 2011383444 2681844592 2729734674 3184690453 3639646232 4022766888 5459469348 6369380906 7279292464 8045533776 9554071359 10918938696 12738761812 19108142718 21837877392 25477523624 38216285436 50955047248 76432570872 152865141744