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48864707046 = 232374714910477
BaseRepresentation
bin101101100000100100…
…000100000111100110
311200010110120022110200
4231200210010013212
51300033331111141
634240444131330
73346625104521
oct554044040746
9150113508420
1048864707046
11197a5942711
129578836b46
1347b97b2b4c
142517a45bb8
15140ed8bab6
hexb609041e6

48864707046 has 96 divisors (see below), whose sum is σ = 111804451200. Its totient is φ = 15405251328.

The previous prime is 48864707039. The next prime is 48864707051. The reversal of 48864707046 is 64070746884.

It is a super-2 number, since 2×488647070462 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 48864706983 and 48864707001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4658760 + ... + 4669236.

It is an arithmetic number, because the mean of its divisors is an integer number (1164629700).

Almost surely, 248864707046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48864707046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55902225600).

48864707046 is an abundant number, since it is smaller than the sum of its proper divisors (62939744154).

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

48864707046 is a wasteful number, since it uses less digits than its factorization.

48864707046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10718 (or 10715 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 48864707046 in words is "forty-eight billion, eight hundred sixty-four million, seven hundred seven thousand, forty-six".

Divisors: 1 2 3 6 9 18 37 47 74 94 111 141 149 222 282 298 333 423 447 666 846 894 1341 1739 2682 3478 5217 5513 7003 10434 10477 11026 14006 15651 16539 20954 21009 31302 31431 33078 42018 49617 62862 63027 94293 99234 126054 188586 259111 387649 492419 518222 775298 777333 984838 1162947 1477257 1554666 1561073 2325894 2331999 2954514 3122146 3488841 4431771 4663998 4683219 6977682 8863542 9366438 14049657 18219503 28099314 36439006 54658509 57759701 73370431 109317018 115519402 146740862 163975527 173279103 220111293 327951054 346558206 440222586 519837309 660333879 1039674618 1320667758 2714705947 5429411894 8144117841 16288235682 24432353523 48864707046