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189649978560 = 26345779101131
BaseRepresentation
bin1011000010100000000…
…1010000010011000000
3200010112000220010020000
42300220001100103000
511101400343303220
6223042441120000
716462463135250
oct2605001202300
9603460803200
10189649978560
1173480517979
1230909489000
1314b64c6bb33
149271687960
154dee9c6390
hex2c280504c0

189649978560 has 1120 divisors, whose sum is σ = 794500945920. Its totient is φ = 42052608000.

The previous prime is 189649978541. The next prime is 189649978571. The reversal of 189649978560 is 65879946981.

189649978560 is a `hidden beast` number, since 1 + 8 + 9 + 6 + 499 + 78 + 5 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×1896499785602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1447709695 + ... + 1447709825.

Almost surely, 2189649978560 is an apocalyptic number.

189649978560 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 189649978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397250472960).

189649978560 is an abundant number, since it is smaller than the sum of its proper divisors (604850967360).

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

189649978560 is a wasteful number, since it uses less digits than its factorization.

189649978560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 72.

The spelling of 189649978560 in words is "one hundred eighty-nine billion, six hundred forty-nine million, nine hundred seventy-eight thousand, five hundred sixty".