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46080700874272 = 2523449659211597
BaseRepresentation
bin10100111101000111111111…
…10011100111111000100000
320001011021100021101201222001
422132203333303213320200
522014441233410434042
6242001103131053344
712464135503501561
oct1236437763477040
9201137307351861
1046080700874272
111375679635a839
1252028b95a1254
131c9351201666c
14b54464168168
1554d9e8969bb7
hex29e8ffce7e20

46080700874272 has 96 divisors (see below), whose sum is σ = 95021044272000. Its totient is φ = 21956040572928.

The previous prime is 46080700874239. The next prime is 46080700874287. The reversal of 46080700874272 is 27247800708064.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217669978 + ... + 217881574.

It is an arithmetic number, because the mean of its divisors is an integer number (989802544500).

Almost surely, 246080700874272 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 46080700874272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47510522136000).

46080700874272 is an abundant number, since it is smaller than the sum of its proper divisors (48940343397728).

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

46080700874272 is a wasteful number, since it uses less digits than its factorization.

46080700874272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212738 (or 212730 counting only the distinct ones).

The product of its (nonzero) digits is 8429568, while the sum is 55.

The spelling of 46080700874272 in words is "forty-six trillion, eighty billion, seven hundred million, eight hundred seventy-four thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 449 659 736 898 1318 1796 2636 3592 5272 7184 10327 10544 14368 15157 20654 21088 30314 41308 60628 82616 121256 165232 211597 242512 295891 330464 423194 485024 591782 846388 1183564 1692776 2367128 3385552 4734256 4866731 6771104 6805493 9468512 9733462 13610986 19466924 27221972 38933848 54443944 77867696 95007053 108887888 139442423 155735392 190014106 217775776 278884846 380028212 557769692 760056424 1115539384 1520112848 2185162219 2231078768 3040225696 3207175729 4370324438 4462157536 6414351458 8740648876 12828702916 17481297752 25657405832 34962595504 51314811664 62609647927 69925191008 102629623328 125219295854 250438591708 500877183416 1001754366832 1440021902321 2003508733664 2880043804642 5760087609284 11520175218568 23040350437136 46080700874272