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151980779412 = 2233711107170801
BaseRepresentation
bin1000110110001011000…
…0101010011110010100
3112112021210122112102000
42031202300222132110
54442224034420122
6153452523315300
713660140211230
oct2154260523624
9475253575360
10151980779412
1159500208030
122555607bb30
1311440a57097
1474da8855c0
153e479470ac
hex2362c2a794

151980779412 has 192 divisors, whose sum is σ = 495845038080. Its totient is φ = 39106368000.

The previous prime is 151980779389. The next prime is 151980779449. The reversal of 151980779412 is 214977089151.

151980779412 is a `hidden beast` number, since 1 + 519 + 80 + 7 + 7 + 9 + 41 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 804412 + ... + 975212.

It is an arithmetic number, because the mean of its divisors is an integer number (2582526240).

Almost surely, 2151980779412 is an apocalyptic number.

151980779412 is a gapful number since it is divisible by the number (12) 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 151980779412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247922519040).

151980779412 is an abundant number, since it is smaller than the sum of its proper divisors (343864258668).

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

151980779412 is a wasteful number, since it uses less digits than its factorization.

151980779412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170939 (or 170931 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 54.

The spelling of 151980779412 in words is "one hundred fifty-one billion, nine hundred eighty million, seven hundred seventy-nine thousand, four hundred twelve".