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81338373629736 = 23319267713867187
BaseRepresentation
bin10010011111101000010000…
…110111011110011100101000
3101122222212120002221211202220
4102133220100313132130220
541130121442122122421
6444554155532154040
723063334503222406
oct2237502067363450
9348885502854686
1081338373629736
1123a0a457477313
129157b08908920
1336502390a2332
141612b26710476
15960be76883c6
hex49fa10dde728

81338373629736 has 96 divisors (see below), whose sum is σ = 214928656187040. Its totient is φ = 25647859725696.

The previous prime is 81338373629729. The next prime is 81338373629837. The reversal of 81338373629736 is 63792637383318.

81338373629736 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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, 1068066 + ... + 12799121.

It is an arithmetic number, because the mean of its divisors is an integer number (2238840168615).

Almost surely, 281338373629736 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 81338373629736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107464328093520).

81338373629736 is an abundant number, since it is smaller than the sum of its proper divisors (133590282557304).

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

81338373629736 is a wasteful number, since it uses less digits than its factorization.

81338373629736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13867911 (or 13867888 counting only the distinct ones).

The product of its digits is 493807104, while the sum is 69.

The spelling of 81338373629736 in words is "eighty-one trillion, three hundred thirty-eight billion, three hundred seventy-three million, six hundred twenty-nine thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 361 456 677 722 1083 1354 1444 2031 2166 2708 2888 4062 4332 5416 8124 8664 12863 16248 25726 38589 51452 77178 102904 154356 244397 308712 488794 733191 977588 1466382 1955176 2932764 5865528 13867187 27734374 41601561 55468748 83203122 110937496 166406244 263476553 332812488 526953106 790429659 1053906212 1580859318 2107812424 3161718636 5006054507 6323437272 9388085599 10012109014 15018163521 18776171198 20024218028 28164256797 30036327042 37552342396 40048436056 56328513594 60072654084 75104684792 112657027188 120145308168 178373626381 225314054376 356747252762 535120879143 713494505524 1070241758286 1426989011048 2140483516572 3389098901239 4280967033144 6778197802478 10167296703717 13556395604956 20334593407434 27112791209912 40669186814868 81338373629736