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151209107712 = 28321323112527
BaseRepresentation
bin1000110011010011000…
…0111110000100000000
3112110022000121112211200
42030310300332010000
54434134012421322
6153244155541200
713632050131425
oct2146460760400
9473260545750
10151209107712
1159144665723
122537b75a800
1311349c12300
1474661b1d4c
153deed188ac
hex2334c3e100

151209107712 has 324 divisors, whose sum is σ = 487356839424. Its totient is φ = 45021450240.

The previous prime is 151209107701. The next prime is 151209107741. The reversal of 151209107712 is 217701902151.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12064393 + ... + 12076919.

It is an arithmetic number, because the mean of its divisors is an integer number (1504187776).

Almost surely, 2151209107712 is an apocalyptic number.

151209107712 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 151209107712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243678419712).

151209107712 is an abundant number, since it is smaller than the sum of its proper divisors (336147731712).

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

151209107712 is a wasteful number, since it uses less digits than its factorization.

151209107712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12606 (or 12576 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 36.

The spelling of 151209107712 in words is "one hundred fifty-one billion, two hundred nine million, one hundred seven thousand, seven hundred twelve".