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94820288980040 = 23513271691973757
BaseRepresentation
bin10101100011110100010001…
…101001000110010001001000
3110102201201201222012200201022
4111203310101221012101020
544412013422434330130
6533355501151212012
725654353104001311
oct2543642151062110
9412651658180638
1094820288980040
1128238071195518
12a774982b17008
1340ba69027a360
14195b47dbb5608
15ae675ee287e5
hex563d11a46448

94820288980040 has 128 divisors (see below), whose sum is σ = 230938628497920. Its totient is φ = 34830862617600.

The previous prime is 94820288979991. The next prime is 94820288980063. The reversal of 94820288980040 is 4008988202849.

It is a Cunningham number, because it is equal to 97375712-1.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96888842 + ... + 97862598.

It is an arithmetic number, because the mean of its divisors is an integer number (1804208035140).

Almost surely, 294820288980040 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 94820288980040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115469314248960).

94820288980040 is an abundant number, since it is smaller than the sum of its proper divisors (136118339517880).

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

94820288980040 is a wasteful number, since it uses less digits than its factorization.

94820288980040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974743 (or 974739 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 62.

The spelling of 94820288980040 in words is "ninety-four trillion, eight hundred twenty billion, two hundred eighty-eight million, nine hundred eighty thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 271 520 542 691 1084 1355 1382 2168 2710 2764 3455 3523 5420 5528 6910 7046 8983 10840 13820 14092 17615 17966 27640 28184 35230 35932 44915 70460 71864 89830 140920 179660 187261 359320 374522 749044 936305 973757 1498088 1872610 1947514 2434393 3745220 3895028 4868785 4868786 7490440 7790056 9737570 9737572 12171965 12658841 19475140 19475144 24343930 25317682 38950280 48687860 50635364 63294205 97375720 101270728 126588410 253176820 263888147 506353640 527776294 672866087 1055552588 1319440735 1345732174 2111105176 2638881470 2691464348 3364330435 3430545911 5277762940 5382928696 6728660870 6861091822 8747259131 10555525880 13457321740 13722183644 17152729555 17494518262 26914643480 27444367288 34305459110 34989036524 43736295655 68610918220 69978073048 87472591310 137221836440 174945182620 182346709577 349890365240 364693419154 729386838308 911733547885 1458773676616 1823467095770 2370507224501 3646934191540 4741014449002 7293868383080 9482028898004 11852536122505 18964057796008 23705072245010 47410144490020 94820288980040