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148808623253796 = 22321121848292
BaseRepresentation
bin100001110101011100110101…
…001000001110100100100100
3201111212222001210221100211100
4201311130311020032210210
5124001040030023110141
61244253423205440100
743226032256410062
oct4165346510164444
9644788053840740
10148808623253796
1143462423437400
1214834136a10030
13650579297235c
1428a6539277032
151230cc18020b6
hex87573520e924

148808623253796 has 81 divisors (see below), whose sum is σ = 413462009091313. Its totient is φ = 45093278223840.

The previous prime is 148808623253779. The next prime is 148808623253803. The reversal of 148808623253796 is 697352326808841.

The square root of 148808623253796 is 12198714.

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

148808623253796 is a `hidden beast` number, since 1 + 4 + 8 + 8 + 0 + 86 + 2 + 3 + 2 + 537 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 140866372013796 + 7942251240000 = 11868714^2 + 2818200^2 .

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, 805022710 + ... + 805207538.

It is a 1-persistent number, because it is pandigital, but 2⋅148808623253796 = 297617246507592 is not.

Almost surely, 2148808623253796 is an apocalyptic number.

148808623253796 is the 12198714-th square number.

It is an amenable number.

148808623253796 is an abundant number, since it is smaller than the sum of its proper divisors (264653385837517).

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

148808623253796 is an frugal number, since it uses more digits than its factorization.

148808623253796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369690 (or 184845 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 148808623253796 in words is "one hundred forty-eight trillion, eight hundred eight billion, six hundred twenty-three million, two hundred fifty-three thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 184829 369658 554487 739316 1108974 1663461 2033119 2217948 3326922 4066238 6099357 6653844 8132476 12198714 18298071 22364309 24397428 36596142 44728618 67092927 73192284 89457236 134185854 201278781 268371708 402557562 805115124 34161759241 68323518482 102485277723 136647036964 204970555446 307455833169 375779351651 409941110892 614911666338 751558703302 1127338054953 1229823332676 1503117406604 2254676109906 3382014164859 4133572868161 4509352219812 6764028329718 8267145736322 12400718604483 13528056659436 16534291472644 24801437208966 37202155813449 49602874417932 74404311626898 148808623253796