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151348952096 = 2541432682731
BaseRepresentation
bin1000110011110100011…
…0011011110000100000
3112110122202202101021022
42030331012123300200
54434430312431341
6153310113145012
713635365603126
oct2147506336040
9473582671238
10151348952096
11592065a08a1
12253ba55b168
131136cb96874
14747a9b5916
153e0c23de4b
hex233d19bc20

151348952096 has 48 divisors (see below), whose sum is σ = 312334390368. Its totient is φ = 72111782400.

The previous prime is 151348952093. The next prime is 151348952113. The reversal of 151348952096 is 690259843151.

It is a super-3 number, since 3×1513489520963 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (151348952093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1284950 + ... + 1397781.

It is an arithmetic number, because the mean of its divisors is an integer number (6506966466).

Almost surely, 2151348952096 is an apocalyptic number.

151348952096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

151348952096 is an abundant number, since it is smaller than the sum of its proper divisors (160985438272).

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

151348952096 is a wasteful number, since it uses less digits than its factorization.

151348952096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2682825 (or 2682817 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 53.

The spelling of 151348952096 in words is "one hundred fifty-one billion, three hundred forty-eight million, nine hundred fifty-two thousand, ninety-six".

Divisors: 1 2 4 8 16 32 41 43 82 86 164 172 328 344 656 688 1312 1376 1763 3526 7052 14104 28208 56416 2682731 5365462 10730924 21461848 42923696 85847392 109991971 115357433 219983942 230714866 439967884 461429732 879935768 922859464 1759871536 1845718928 3519743072 3691437856 4729654753 9459309506 18918619012 37837238024 75674476048 151348952096