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106758034270764 = 2231131671913246439
BaseRepresentation
bin11000010001100010001010…
…101101011010101000101100
3111222222222010222001220002120
4120101202022231122220230
5102443110423233131024
61015015544110552540
731326004416506562
oct3021421255325054
9458888128056076
10106758034270764
113101a912195868
12bb82509808750
134775316064656
141c5118b6a1a32
15c5204c6be479
hex61188ab5aa2c

106758034270764 has 96 divisors (see below), whose sum is σ = 252944533416960. Its totient is φ = 35041417463808.

The previous prime is 106758034270717. The next prime is 106758034270847. The reversal of 106758034270764 is 467072430857601.

It is a super-2 number, since 2×1067580342707642 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106758034270698 and 106758034270707.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 433079457 + ... + 433325895.

It is an arithmetic number, because the mean of its divisors is an integer number (2634838889760).

Almost surely, 2106758034270764 is an apocalyptic number.

It is an amenable number.

106758034270764 is an abundant number, since it is smaller than the sum of its proper divisors (146186499146196).

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

106758034270764 is a wasteful number, since it uses less digits than its factorization.

106758034270764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248639 (or 248637 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 60.

The spelling of 106758034270764 in words is "one hundred six trillion, seven hundred fifty-eight billion, thirty-four million, two hundred seventy thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 12 113 167 226 334 339 452 501 668 678 1002 1356 1913 2004 3826 5739 7652 11478 18871 22956 37742 56613 75484 113226 216169 226452 246439 319471 432338 492878 638942 648507 739317 864676 958413 985756 1277884 1297014 1478634 1916826 2594028 2957268 3833652 27847607 36100223 41155313 55695214 72200446 82310626 83542821 108300669 111390428 123465939 144400892 164621252 167085642 216601338 246931878 334171284 433202676 471437807 493863756 942875614 1414313421 1885751228 2828626842 4650550369 5657253684 9301100738 13951651107 18602201476 27903302214 53272472191 55806604428 78730113769 106544944382 157460227538 159817416573 213089888764 236190341307 314920455076 319634833146 472380682614 639269666292 944761365228 8896502855897 17793005711794 26689508567691 35586011423588 53379017135382 106758034270764