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3980856816 = 2432173152457
BaseRepresentation
bin1110110101000111…
…0000110111110000
3101021102200110221100
43231101300313300
531123044404231
61455003324400
7200435503356
oct35521606760
911242613840
103980856816
1117630a9712
12931220700
134b597b2a1
1429a9ad7d6
151847431e6
hexed470df0

3980856816 has 120 divisors (see below), whose sum is σ = 12176970624. Its totient is φ = 1208586240.

The previous prime is 3980856797. The next prime is 3980856821. The reversal of 3980856816 is 6186580893.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49660 + ... + 102116.

Almost surely, 23980856816 is an apocalyptic number.

3980856816 is a gapful number since it is divisible by the number (36) 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 3980856816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6088485312).

3980856816 is an abundant number, since it is smaller than the sum of its proper divisors (8196113808).

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

3980856816 is a wasteful number, since it uses less digits than its factorization.

3980856816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52519 (or 52510 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 3980856816 is about 63094.0315402337. The cubic root of 3980856816 is about 1584.8646755931.

The spelling of 3980856816 in words is "three billion, nine hundred eighty million, eight hundred fifty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 31 34 36 48 51 62 68 72 93 102 124 136 144 153 186 204 248 272 279 306 372 408 496 527 558 612 744 816 1054 1116 1224 1488 1581 2108 2232 2448 3162 4216 4464 4743 6324 8432 9486 12648 18972 25296 37944 52457 75888 104914 157371 209828 314742 419656 472113 629484 839312 891769 944226 1258968 1626167 1783538 1888452 2517936 2675307 3252334 3567076 3776904 4878501 5350614 6504668 7134152 7553808 8025921 9757002 10701228 13009336 14268304 14635503 16051842 19514004 21402456 26018672 27644839 29271006 32103684 39028008 42804912 55289678 58542012 64207368 78056016 82934517 110579356 117084024 128414736 165869034 221158712 234168048 248803551 331738068 442317424 497607102 663476136 995214204 1326952272 1990428408 3980856816