Search a number
-
+
40593074957832 = 233171391180760623
BaseRepresentation
bin10010011101011010011111…
…10100000010111000001000
312022201122211012002110211110
421032231033310002320020
520310034104142122312
6222200111242530320
711356516145025315
oct1116551764027010
9168648735073743
1040593074957832
1111a30476610a21
1246772628069a0
131985bab605387
14a04a02b55d0c
154a5dbbb2a43c
hex24eb4fd02e08

40593074957832 has 128 divisors (see below), whose sum is σ = 108236246630400. Its totient is φ = 12642183656448.

The previous prime is 40593074957819. The next prime is 40593074957837. The reversal of 40593074957832 is 23875947039504.

It is not an unprimeable number, because it can be changed into a prime (40593074957837) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 669568273 + ... + 669628895.

It is an arithmetic number, because the mean of its divisors is an integer number (845595676800).

Almost surely, 240593074957832 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 40593074957832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54118123315200).

40593074957832 is an abundant number, since it is smaller than the sum of its proper divisors (67643171672568).

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

40593074957832 is a wasteful number, since it uses less digits than its factorization.

40593074957832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72595 (or 72591 counting only the distinct ones).

The product of its (nonzero) digits is 228614400, while the sum is 66.

The spelling of 40593074957832 in words is "forty trillion, five hundred ninety-three billion, seventy-four million, nine hundred fifty-seven thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 139 204 278 408 417 556 834 1112 1668 2363 3336 4726 7089 9452 11807 14178 18904 23614 28356 35421 47228 56712 60623 70842 94456 121246 141684 181869 200719 242492 283368 363738 401438 484984 602157 727476 802876 1030591 1204314 1454952 1605752 1641173 2061182 2408628 3091773 3282346 4122364 4817256 4923519 6183546 6564692 8244728 8426597 9847038 12367092 13129384 16853194 19694076 24734184 25279791 27899941 33706388 39388152 50559582 55799882 67412776 83699823 101119164 111599764 143252149 167399646 202238328 223199528 286504298 334799292 429756447 573008596 669598584 715775761 859512894 1146017192 1431551522 1719025788 2147327283 2863103044 3438051576 4294654566 5726206088 8589309132 12168187937 17178618264 24336375874 36504563811 48672751748 73009127622 97345503496 99492830779 146018255244 198985661558 292036510488 298478492337 397971323116 596956984674 795942646232 1193913969348 1691378123243 2387827938696 3382756246486 5074134369729 6765512492972 10148268739458 13531024985944 20296537478916 40593074957832