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5557946976 = 25332927649
BaseRepresentation
bin1010010110100011…
…11000101001100000
3112100100020221221000
411023101320221200
542340313300401
62315302032000
7254505525021
oct51321705140
915310227830
105557946976
1123a235290a
1210b1418600
136a762232a
143aa21cc48
15227e19186
hex14b478a60

5557946976 has 144 divisors (see below), whose sum is σ = 16791138000. Its totient is φ = 1788530688.

The previous prime is 5557946963. The next prime is 5557946981. The reversal of 5557946976 is 6796497555.

5557946976 is a `hidden beast` number, since 5 + 557 + 9 + 4 + 6 + 9 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 722800 + ... + 730448.

It is an arithmetic number, because the mean of its divisors is an integer number (116605125).

Almost surely, 25557946976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5557946976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8395569000).

5557946976 is an abundant number, since it is smaller than the sum of its proper divisors (11233191024).

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

5557946976 is a wasteful number, since it uses less digits than its factorization.

5557946976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7726 (or 7683 counting only the distinct ones).

The product of its digits is 71442000, while the sum is 63.

The square root of 5557946976 is about 74551.6396600370. The cubic root of 5557946976 is about 1771.3517051925.

The spelling of 5557946976 in words is "five billion, five hundred fifty-seven million, nine hundred forty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 87 96 108 116 144 174 216 232 261 288 348 432 464 522 696 783 841 864 928 1044 1392 1566 1682 2088 2523 2784 3132 3364 4176 5046 6264 6728 7569 7649 8352 10092 12528 13456 15138 15298 20184 22707 22947 25056 26912 30276 30596 40368 45414 45894 60552 61192 68841 80736 90828 91788 121104 122384 137682 181656 183576 206523 221821 242208 244768 275364 363312 367152 413046 443642 550728 665463 726624 734304 826092 887284 1101456 1330926 1652184 1774568 1996389 2202912 2661852 3304368 3549136 3992778 5323704 5989167 6432809 6608736 7098272 7985556 10647408 11978334 12865618 15971112 19298427 21294816 23956668 25731236 31942224 38596854 47913336 51462472 57895281 63884448 77193708 95826672 102924944 115790562 154387416 173685843 191653344 205849888 231581124 308774832 347371686 463162248 617549664 694743372 926324496 1389486744 1852648992 2778973488 5557946976