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152278275072 = 210371137127137
BaseRepresentation
bin1000110111010001111…
…1100001010000000000
3112120001112102212201210
42031310133201100000
54443331214300242
6153542231530120
714000411660430
oct2156437412000
9476045385653
10152278275072
1159643130a10
1225619829940
131148a589011
1475281a62c0
153e63b0dd9c
hex23747e1400

152278275072 has 704 divisors, whose sum is σ = 527620571136. Its totient is φ = 37902090240.

The previous prime is 152278275031. The next prime is 152278275091. The reversal of 152278275072 is 270572872251.

It is a tau number, because it is divible by the number of its divisors (704).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1111520188 + ... + 1111520324.

Almost surely, 2152278275072 is an apocalyptic number.

152278275072 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 152278275072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263810285568).

152278275072 is an abundant number, since it is smaller than the sum of its proper divisors (375342296064).

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

152278275072 is a wasteful number, since it uses less digits than its factorization.

152278275072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 1097600, while the sum is 48.

It can be divided in two parts, 152278 and 275072, that added together give a triangular number (427350 = T924).

The spelling of 152278275072 in words is "one hundred fifty-two billion, two hundred seventy-eight million, two hundred seventy-five thousand, seventy-two".