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980250200160 = 25357111723292339
BaseRepresentation
bin11100100001110110111…
…01110000100001100000
310110201012022200122022220
432100323131300201200
5112030023022401120
62030153135431040
7130551341136450
oct16207335604140
93421168618286
10980250200160
113487a3756a70
12139b8b985480
137158b6a374a
143563148dd60
151a77296db40
hexe43b770860

980250200160 has 1536 divisors, whose sum is σ = 4401937612800. Its totient is φ = 176972759040.

The previous prime is 980250200123. The next prime is 980250200179. The reversal of 980250200160 is 61002052089.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 419088271 + ... + 419090609.

It is an arithmetic number, because the mean of its divisors is an integer number (2865844800).

Almost surely, 2980250200160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 980250200160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2200968806400).

980250200160 is an abundant number, since it is smaller than the sum of its proper divisors (3421687412640).

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

980250200160 is a wasteful number, since it uses less digits than its factorization.

980250200160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2444 (or 2436 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 980250200160 in words is "nine hundred eighty billion, two hundred fifty million, two hundred thousand, one hundred sixty".