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16214379376 = 2413313078191
BaseRepresentation
bin11110001100111001…
…11100101101110000
31112212000012211000111
433012130330231300
5231201340120001
611240534231104
71112543644036
oct170634745560
945760184014
1016214379376
11697065a238
1231861b5494
1316b5306530
14adb618556
1564d740851
hex3c673cb70

16214379376 has 80 divisors (see below), whose sum is σ = 35041312768. Its totient is φ = 7217683200.

The previous prime is 16214379359. The next prime is 16214379383. The reversal of 16214379376 is 67397341261.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1975441 + ... + 1983631.

Almost surely, 216214379376 is an apocalyptic number.

16214379376 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 16214379376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17520656384).

16214379376 is an abundant number, since it is smaller than the sum of its proper divisors (18826933392).

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

16214379376 is a wasteful number, since it uses less digits than its factorization.

16214379376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8550 (or 8544 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 49.

The spelling of 16214379376 in words is "sixteen billion, two hundred fourteen million, three hundred seventy-nine thousand, three hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 31 52 62 104 124 208 248 307 403 496 614 806 1228 1612 2456 3224 3991 4912 6448 7982 8191 9517 15964 16382 19034 31928 32764 38068 63856 65528 76136 106483 123721 131056 152272 212966 247442 253921 425932 494884 507842 851864 989768 1015684 1703728 1979536 2031368 2514637 3300973 4062736 5029274 6601946 10058548 13203892 20117096 26407784 32690281 40234192 52815568 65380562 77953747 130761124 155907494 261522248 311814988 523044496 623629976 1013398711 1247259952 2026797422 4053594844 8107189688 16214379376