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97842944640 = 273577279981
BaseRepresentation
bin101101100011111100…
…1001101101010000000
3100100112211202120120110
41123013321031222000
53100340243212030
6112540505511320
710032432210240
oct1330771155200
9310484676513
1097842944640
1138549878521
1216b674a2540
1392c396601c
144a427a1b20
152829ba21b0
hex16c7e4da80

97842944640 has 128 divisors (see below), whose sum is σ = 356427918720. Its totient is φ = 22364098560.

The previous prime is 97842944621. The next prime is 97842944659. The reversal of 97842944640 is 4644924879.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (97842944621) and next prime (97842944659).

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

It is a super-2 number, since 2×978429446402 (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, 3626551 + ... + 3653430.

It is an arithmetic number, because the mean of its divisors is an integer number (2784593115).

Almost surely, 297842944640 is an apocalyptic number.

It is an amenable number.

97842944640 is an abundant number, since it is smaller than the sum of its proper divisors (258584974080).

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

97842944640 is a wasteful number, since it uses less digits than its factorization.

97842944640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7280010 (or 7279998 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 57.

The spelling of 97842944640 in words is "ninety-seven billion, eight hundred forty-two million, nine hundred forty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2240 2688 3360 4480 6720 13440 7279981 14559962 21839943 29119924 36399905 43679886 50959867 58239848 72799810 87359772 101919734 109199715 116479696 145599620 152879601 174719544 203839468 218399430 232959392 254799335 291199240 305759202 349439088 407678936 436798860 465918784 509598670 582398480 611518404 698878176 764398005 815357872 873597720 931837568 1019197340 1164796960 1223036808 1397756352 1528796010 1630715744 1747195440 2038394680 2329593920 2446073616 2795512704 3057592020 3261431488 3494390880 4076789360 4659187840 4892147232 6115184040 6522862976 6988781760 8153578720 9784294464 12230368080 13977563520 16307157440 19568588928 24460736160 32614314880 48921472320 97842944640