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47680772652 = 223222337915671
BaseRepresentation
bin101100011001111111…
…101101101000101100
311120001221210012210200
4230121333231220230
51240122234211102
633523152233500
73305400610662
oct543177555054
9146057705720
1047680772652
111924860a237
1292a823b890
13465b425056
1424446d8c32
151390e7651c
hexb19feda2c

47680772652 has 72 divisors (see below), whose sum is σ = 121394058240. Its totient is φ = 15779564640.

The previous prime is 47680772621. The next prime is 47680772653. The reversal of 47680772652 is 25627708674.

47680772652 is a `hidden beast` number, since 476 + 80 + 77 + 26 + 5 + 2 = 666.

It is a super-3 number, since 3×476807726523 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (47680772653) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3034777 + ... + 3050447.

Almost surely, 247680772652 is an apocalyptic number.

It is an amenable number.

47680772652 is an abundant number, since it is smaller than the sum of its proper divisors (73713285588).

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

47680772652 is a wasteful number, since it uses less digits than its factorization.

47680772652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16283 (or 16278 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 47680772652 in words is "forty-seven billion, six hundred eighty million, seven hundred seventy-two thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 223 379 446 669 758 892 1137 1338 1516 2007 2274 2676 3411 4014 4548 6822 8028 13644 15671 31342 47013 62684 84517 94026 141039 169034 188052 253551 282078 338068 507102 564156 760653 1014204 1521306 3042612 3494633 5939309 6989266 10483899 11878618 13978532 17817927 20967798 23757236 31451697 35635854 41935596 53453781 62903394 71271708 106907562 125806788 213815124 1324465907 2648931814 3973397721 5297863628 7946795442 11920193163 15893590884 23840386326 47680772652