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98787617126416 = 2453217322712
BaseRepresentation
bin10110011101100011001000…
…110100111011100000010000
3110221210000002220001021010201
4112131203020310323200100
5100422014014441021131
6550034223234104544
726544112146561031
oct2635431064734020
9427700086037121
1098787617126416
1129527658530969
12b0b585111b154
13431782b2a060a
141a574bbcc2a88
15b64a5c934761
hex59d8c8d3b810

98787617126416 has 135 divisors (see below), whose sum is σ = 196941348408567. Its totient is φ = 48003931272960.

The previous prime is 98787617126321. The next prime is 98787617126479. The reversal of 98787617126416 is 61462171678789.

It is a happy number.

The square root of 98787617126416 is 9939196.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 41866024396816 + 56921592729600 = 6470396^2 + 7544640^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 364529952361 + ... + 364529952631.

Almost surely, 298787617126416 is an apocalyptic number.

98787617126416 is the 9939196-th square number.

It is an amenable number.

98787617126416 is a deficient number, since it is larger than the sum of its proper divisors (98153731282151).

98787617126416 is an frugal number, since it uses more digits than its factorization.

98787617126416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 499 counting only the distinct ones).

The product of its digits is 341397504, while the sum is 73.

The spelling of 98787617126416 in words is "ninety-eight trillion, seven hundred eighty-seven billion, six hundred seventeen million, one hundred twenty-six thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 53 106 173 212 271 346 424 542 692 848 1084 1384 2168 2768 2809 4336 5618 9169 11236 14363 18338 22472 28726 29929 36676 44944 46883 57452 59858 73352 73441 93766 114904 119716 146704 146882 187532 229808 239432 293764 375064 478864 485957 587528 750128 761239 971914 1175056 1522478 1586237 1943828 2484799 3044956 3172474 3887656 3892373 4969598 6089912 6344948 7775312 7784746 8110759 9939196 12179824 12689896 12705293 15569492 16221518 19878392 25379792 25410586 31138984 32443036 39756784 50821172 62277968 64886072 84070561 101642344 129772144 131694347 168141122 203284688 206295769 263388694 336282244 412591538 429870227 526777388 672564488 673380529 825183076 859740454 1053554776 1345128976 1346761058 1650366152 1719480908 2107109552 2198015689 2693522116 3300732304 3438961816 4396031378 5387044232 6877923632 8792062756 10774088464 17584125512 22783122031 35168251024 35689168037 45566244062 71378336074 91132488124 116494831517 142756672148 182264976248 232989663034 285513344296 364529952496 465979326068 571026688592 931958652136 1863917304272 6174226070401 12348452140802 24696904281604 49393808563208 98787617126416