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153127920000 = 273541125273
BaseRepresentation
bin1000111010011100100…
…0101010000110000000
3112122020202012022110110
42032213020222012000
510002101221420000
6154202422431320
714030436562356
oct2164710520600
9478222168413
10153127920000
1159a3979a800
1225816292540
13115946017b3
1475a8d757d6
153eb34e0850
hex23a722a180

153127920000 has 480 divisors, whose sum is σ = 558782726040. Its totient is φ = 37114880000.

The previous prime is 153127919941. The next prime is 153127920037. The reversal of 153127920000 is 29721351.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 153127920000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 29037364 + ... + 29042636.

Almost surely, 2153127920000 is an apocalyptic number.

153127920000 is a gapful number since it is divisible by the number (10) 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 153127920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279391363020).

153127920000 is an abundant number, since it is smaller than the sum of its proper divisors (405654806040).

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

153127920000 is an equidigital number, since it uses as much as digits as its factorization.

153127920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5332 (or 5294 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The spelling of 153127920000 in words is "one hundred fifty-three billion, one hundred twenty-seven million, nine hundred twenty thousand".