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16153438336 = 27731718191
BaseRepresentation
bin11110000101101000…
…11110100010000000
31112200202112200121221
433002310132202000
5231040240011321
611230520124424
71111203650260
oct170264364200
945622480557
1016153438336
11693a216342
123169906714
1316a57ba149
14ad34b37a0
15648203e41
hex3c2d1e880

16153438336 has 128 divisors (see below), whose sum is σ = 38503710720. Its totient is φ = 6604416000.

The previous prime is 16153438303. The next prime is 16153438339. The reversal of 16153438336 is 63383435161.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 16153438292 and 16153438301.

It is not an unprimeable number, because it can be changed into a prime (16153438339) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1968001 + ... + 1976191.

It is an arithmetic number, because the mean of its divisors is an integer number (300810240).

Almost surely, 216153438336 is an apocalyptic number.

16153438336 is a gapful number since it is divisible by the number (16) 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 16153438336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19251855360).

16153438336 is an abundant number, since it is smaller than the sum of its proper divisors (22350272384).

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

16153438336 is an equidigital number, since it uses as much as digits as its factorization.

16153438336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8314 (or 8302 counting only the distinct ones).

The product of its digits is 466560, while the sum is 43.

The spelling of 16153438336 in words is "sixteen billion, one hundred fifty-three million, four hundred thirty-eight thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 71 112 124 128 142 217 224 248 284 434 448 496 497 568 868 896 992 994 1136 1736 1984 1988 2201 2272 3472 3968 3976 4402 4544 6944 7952 8191 8804 9088 13888 15407 15904 16382 17608 27776 30814 31808 32764 35216 57337 61628 63616 65528 70432 114674 123256 131056 140864 229348 246512 253921 262112 281728 458696 493024 507842 524224 581561 917392 986048 1015684 1048448 1163122 1777447 1834784 1972096 2031368 2326244 3554894 3669568 4062736 4070927 4652488 7109788 7339136 8125472 8141854 9304976 14219576 16250944 16283708 18028391 18609952 28439152 32501888 32567416 36056782 37219904 56878304 65134832 72113564 74439808 113756608 126198737 130269664 144227128 227513216 252397474 260539328 288454256 504794948 521078656 576908512 1009589896 1153817024 2019179792 2307634048 4038359584 8076719168 16153438336