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94894359040 = 2951317167729
BaseRepresentation
bin101100001100000100…
…1010000001000000000
3100001221100110220112101
41120120021100020000
53023320423442130
6111332135240144
76566366512615
oct1303011201000
9301840426471
1094894359040
1137276434518
1216483b19054
138c43b13910
144842d4050c
152705db71ca
hex1618250200

94894359040 has 160 divisors (see below), whose sum is σ = 259440738480. Its totient is φ = 32976666624.

The previous prime is 94894359029. The next prime is 94894359097. The reversal of 94894359040 is 4095349849.

It can be written as a sum of positive squares in 8 ways, for example, as 35506618624 + 59387740416 = 188432^2 + 243696^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×948943590402 (a number of 23 digits) contains 22 as substring.

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, 481896 + ... + 649624.

Almost surely, 294894359040 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 94894359040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129720369240).

94894359040 is an abundant number, since it is smaller than the sum of its proper divisors (164546379440).

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

94894359040 is a wasteful number, since it uses less digits than its factorization.

94894359040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167782 (or 167766 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 55.

The spelling of 94894359040 in words is "ninety-four billion, eight hundred ninety-four million, three hundred fifty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 32 34 40 52 64 65 68 80 85 104 128 130 136 160 170 208 221 256 260 272 320 340 416 442 512 520 544 640 680 832 884 1040 1088 1105 1280 1360 1664 1768 2080 2176 2210 2560 2720 3328 3536 4160 4352 4420 5440 6656 7072 8320 8704 8840 10880 14144 16640 17680 21760 28288 33280 35360 43520 56576 70720 113152 141440 167729 282880 335458 565760 670916 838645 1341832 1677290 2180477 2683664 2851393 3354580 4360954 5367328 5702786 6709160 8721908 10734656 10902385 11405572 13418320 14256965 17443816 21469312 21804770 22811144 26836640 28513930 34887632 37068109 42938624 43609540 45622288 53673280 57027860 69775264 74136218 85877248 87219080 91244576 107346560 114055720 139550528 148272436 174438160 182489152 185340545 214693120 228111440 279101056 296544872 348876320 364978304 370681090 429386240 456222880 558202112 593089744 697752640 729956608 741362180 912445760 1116404224 1186179488 1395505280 1459913216 1482724360 1824891520 2372358976 2791010560 2965448720 3649783040 4744717952 5582021120 5930897440 7299566080 9489435904 11861794880 18978871808 23723589760 47447179520 94894359040