Search a number
-
+
99897706173456 = 2432372225112
BaseRepresentation
bin10110101101101100111111…
…010010100101010000010000
3111002201010102220102201120100
4112231230333102211100100
5101043211000240022311
6552244212255012400
730020241200023632
oct2655547722452020
9432633386381510
1099897706173456
1129915419897264
12b254a1780a100
13439840c3432b9
141a9510928ca52
15b8387ded2a56
hex5adb3f4a5410

99897706173456 has 135 divisors (see below), whose sum is σ = 287347890031293. Its totient is φ = 32397816792960.

The previous prime is 99897706173449. The next prime is 99897706173469. The reversal of 99897706173456 is 65437160779899.

The square root of 99897706173456 is 9994884.

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

99897706173456 is a `hidden beast` number, since 9 + 9 + 8 + 97 + 7 + 0 + 6 + 1 + 73 + 456 = 666.

It can be written as a sum of positive squares in only one way, i.e., 89389839344400 + 10507866829056 = 9454620^2 + 3241584^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4437717241 + ... + 4437739751.

Almost surely, 299897706173456 is an apocalyptic number.

99897706173456 is the 9994884-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99897706173456

99897706173456 is an abundant number, since it is smaller than the sum of its proper divisors (187450183857837).

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

99897706173456 is an frugal number, since it uses more digits than its factorization.

99897706173456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45110 (or 22553 counting only the distinct ones).

The product of its (nonzero) digits is 4320812160, while the sum is 81.

The spelling of 99897706173456 in words is "ninety-nine trillion, eight hundred ninety-seven billion, seven hundred six million, one hundred seventy-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1369 1776 2664 2738 4107 5328 5476 8214 10952 12321 16428 21904 22511 24642 32856 45022 49284 65712 67533 90044 98568 135066 180088 197136 202599 270132 360176 405198 540264 810396 832907 1080528 1620792 1665814 2498721 3241584 3331628 4997442 6663256 7496163 9994884 13326512 14992326 19989768 29984652 30817559 39979536 59969304 61635118 92452677 119938608 123270236 184905354 246540472 277358031 369810708 493080944 506745121 554716062 739621416 1013490242 1109432124 1479242832 1520235363 2026980484 2218864248 3040470726 4053960968 4437728496 4560706089 6080941452 8107921936 9121412178 12161882904 18242824356 18749569477 24323765808 36485648712 37499138954 56248708431 72971297424 74998277908 112497416862 149996555816 168746125293 224994833724 299993111632 337492250586 449989667448 674984501172 693734070649 899979334896 1349969002344 1387468141298 2081202211947 2699938004688 2774936282596 4162404423894 5549872565192 6243606635841 8324808847788 11099745130384 12487213271682 16649617695576 24974426543364 33299235391152 49948853086728 99897706173456