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47857687696 = 24721326012
BaseRepresentation
bin101100100100100010…
…100101110010010000
311120112021200102121201
4230210202211302100
51241003032001241
633552512200544
73312646430200
oct544442456220
9146467612551
1047857687696
1119329465115
129337539154
134688c88a00
14245ddcc400
1513a1770931
hexb248a5c90

47857687696 has 135 divisors (see below), whose sum is σ = 116992979883. Its totient is φ = 18901209600.

The previous prime is 47857687693. The next prime is 47857687723. The reversal of 47857687696 is 69678675874.

The square root of 47857687696 is 218764.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 12250000 + 47845437696 = 3500^2 + 218736^2 .

It is not an unprimeable number, because it can be changed into a prime (47857687693) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 79629796 + ... + 79630396.

Almost surely, 247857687696 is an apocalyptic number.

47857687696 is the 218764-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47857687696

47857687696 is an abundant number, since it is smaller than the sum of its proper divisors (69135292187).

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

47857687696 is an equidigital number, since it uses as much as digits as its factorization.

47857687696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250 (or 623 counting only the distinct ones).

The product of its digits is 853493760, while the sum is 73.

The spelling of 47857687696 in words is "forty-seven billion, eight hundred fifty-seven million, six hundred eighty-seven thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 169 182 196 208 338 364 392 601 637 676 728 784 1183 1202 1274 1352 1456 2366 2404 2548 2704 4207 4732 4808 5096 7813 8281 8414 9464 9616 10192 15626 16562 16828 18928 29449 31252 33124 33656 54691 58898 62504 66248 67312 101569 109382 117796 125008 132496 203138 218764 235592 361201 382837 406276 437528 471184 710983 722402 765674 812552 875056 1421966 1444804 1531348 1625104 2528407 2843932 2889608 3062696 4695613 4976881 5056814 5687864 5779216 6125392 9391226 9953762 10113628 11375728 17698849 18782452 19907524 20227256 32869291 35397698 37564904 39815048 40454512 61042969 65738582 70795396 75129808 79630096 122085938 131477164 141590792 230085037 244171876 262954328 283181584 427300783 460170074 488343752 525908656 854601566 920340148 976687504 1709203132 1840680296 2991105481 3418406264 3681360592 5982210962 6836812528 11964421924 23928843848 47857687696