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152013562540 = 22575918403579
BaseRepresentation
bin1000110110010010110…
…1101110001010101100
3112112101002100002101221
42031210231232022230
54442310433000130
6153500054113124
713661015650660
oct2154455561254
9475332302357
10152013562540
1159517769524
122556504b7a4
1311447794a98
147500d7a8a0
153e4a77087a
hex2364b6e2ac

152013562540 has 48 divisors (see below), whose sum is σ = 371016172800. Its totient is φ = 51235561152.

The previous prime is 152013562501. The next prime is 152013562627. The reversal of 152013562540 is 45265310251.

152013562540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1520135625402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 152013562496 and 152013562505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9193530 + ... + 9210049.

It is an arithmetic number, because the mean of its divisors is an integer number (7729503600).

Almost surely, 2152013562540 is an apocalyptic number.

152013562540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152013562540 is an abundant number, since it is smaller than the sum of its proper divisors (219002610260).

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

152013562540 is a wasteful number, since it uses less digits than its factorization.

152013562540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18403654 (or 18403652 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

Adding to 152013562540 its reverse (45265310251), we get a palindrome (197278872791).

The spelling of 152013562540 in words is "one hundred fifty-two billion, thirteen million, five hundred sixty-two thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 118 140 236 295 413 590 826 1180 1652 2065 4130 8260 18403579 36807158 73614316 92017895 128825053 184035790 257650106 368071580 515300212 644125265 1085811161 1288250530 2171622322 2576501060 4343244644 5429055805 7600678127 10858111610 15201356254 21716223220 30402712508 38003390635 76006781270 152013562540