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19887741120 = 26351312231303
BaseRepresentation
bin10010100001011001…
…101101100011000000
31220100000021221000110
4102201121231203000
5311212230203440
613045235151320
71302560003352
oct224131554300
956300257013
1019887741120
118486125295
123a30445540
131b4c361370
14d694230d2
157b5e94080
hex4a166d8c0

19887741120 has 224 divisors, whose sum is σ = 68108608512. Its totient is φ = 4887687168.

The previous prime is 19887741103. The next prime is 19887741143. The reversal of 19887741120 is 2114778891.

It is a super-2 number, since 2×198877411202 (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 19887741120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15262389 + ... + 15263691.

It is an arithmetic number, because the mean of its divisors is an integer number (304056288).

Almost surely, 219887741120 is an apocalyptic number.

19887741120 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 19887741120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34054304256).

19887741120 is an abundant number, since it is smaller than the sum of its proper divisors (48220867392).

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

19887741120 is a wasteful number, since it uses less digits than its factorization.

19887741120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2559 (or 2549 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 48.

The spelling of 19887741120 in words is "nineteen billion, eight hundred eighty-seven million, seven hundred forty-one thousand, one hundred twenty".