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245138678466432 = 27323135281205171
BaseRepresentation
bin110111101111001111001011…
…110110011100011110000000
31012010222000202222200012210120
4313233033023312130132000
5224112323003141411212
62225211053151100240
7102430453655555322
oct6757171366343600
91163860688605716
10245138678466432
1171121803273313
12235b1627511680
13a6a262a77545a
144476abd789612
151d519461a888c
hexdef3cbd9c780

245138678466432 has 128 divisors (see below), whose sum is σ = 679468801777920. Its totient is φ = 78159199641600.

The previous prime is 245138678466403. The next prime is 245138678466433. The reversal of 245138678466432 is 234664876831542.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-4 number, since 4×2451386784664324 (a number of 59 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245138678466433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1194699207 + ... + 1194904377.

It is an arithmetic number, because the mean of its divisors is an integer number (5308350013890).

Almost surely, 2245138678466432 is an apocalyptic number.

It is an amenable number.

245138678466432 is an abundant number, since it is smaller than the sum of its proper divisors (434330123311488).

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

245138678466432 is a wasteful number, since it uses less digits than its factorization.

245138678466432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340492 (or 340480 counting only the distinct ones).

The product of its digits is 1114767360, while the sum is 69.

The spelling of 245138678466432 in words is "two hundred forty-five trillion, one hundred thirty-eight billion, six hundred seventy-eight million, four hundred sixty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 552 736 1104 1472 2208 2944 4416 8832 135281 205171 270562 405843 410342 541124 615513 811686 820684 1082248 1231026 1623372 1641368 2164496 2462052 3111463 3246744 3282736 4328992 4718933 4924104 6222926 6493488 6565472 8657984 9334389 9437866 9848208 12445852 12986976 13130944 14156799 17315968 18668778 18875732 19696416 24891704 25973952 26261888 28313598 37337556 37751464 39392832 49783408 51947904 56627196 74675112 75502928 78785664 99566816 113254392 149350224 151005856 199133632 226508784 298700448 302011712 398267264 453017568 597400896 604023424 906035136 1194801792 1812070272 27755738051 55511476102 83267214153 111022952204 166534428306 222045904408 333068856612 444091808816 638381975173 666137713224 888183617632 1276763950346 1332275426448 1776367235264 1915145925519 2553527900692 2664550852896 3552734470528 3830291851038 5107055801384 5329101705792 7660583702076 10214111602768 10658203411584 15321167404152 20428223205536 30642334808304 40856446411072 61284669616608 81712892822144 122569339233216 245138678466432