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53444507447968 = 2572134755784791
BaseRepresentation
bin11000010011011100001001…
…11000011011001010100000
321000020020121121121112021121
430021232010320123022200
524001113322401313333
6305400022350102024
714154144500560600
oct1411560470331240
9230206547545247
1053444507447968
111603576318260a
125bb1aa14aa914
1323a8a45727330
14d2aa29758c00
1562a33334432d
hex309b84e1b2a0

53444507447968 has 144 divisors (see below), whose sum is σ = 134617182384384. Its totient is φ = 20693033141760.

The previous prime is 53444507447963. The next prime is 53444507448011. The reversal of 53444507447968 is 86974470544435.

It is a hoax number, since the sum of its digits (70) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 53444507447897 and 53444507447906.

It is not an unprimeable number, because it can be changed into a prime (53444507447963) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 26934348 + ... + 28850443.

It is an arithmetic number, because the mean of its divisors is an integer number (934841544336).

Almost surely, 253444507447968 is an apocalyptic number.

It is an amenable number.

53444507447968 is an abundant number, since it is smaller than the sum of its proper divisors (81172674936416).

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

53444507447968 is a wasteful number, since it uses less digits than its factorization.

53444507447968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55784875 (or 55784860 counting only the distinct ones).

The product of its (nonzero) digits is 1625702400, while the sum is 70.

The spelling of 53444507447968 in words is "fifty-three trillion, four hundred forty-four billion, five hundred seven million, four hundred forty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 47 49 52 56 91 94 98 104 112 182 188 196 208 224 329 364 376 392 416 611 637 658 728 752 784 1222 1274 1316 1456 1504 1568 2303 2444 2548 2632 2912 4277 4606 4888 5096 5264 8554 9212 9776 10192 10528 17108 18424 19552 20384 29939 34216 36848 59878 68432 73696 119756 136864 239512 479024 958048 55784791 111569582 223139164 390493537 446278328 725202283 780987074 892556656 1450404566 1561974148 1785113312 2621885177 2733454759 2900809132 3123948296 5076415981 5243770354 5466909518 5801618264 6247896592 10152831962 10487540708 10933819036 11603236528 12495793184 18353196239 20305663924 20975081416 21867638072 23206473056 34084507301 35534911867 36706392478 40611327848 41950162832 43735276144 68169014602 71069823734 73412784956 81222655696 83900325664 87470552288 128472373673 136338029204 142139647468 146825569912 162445311392 238591551107 256944747346 272676058408 284279294936 293651139824 477183102214 513889494692 545352116816 568558589872 587302279648 954366204428 1027778989384 1090704233632 1137117179744 1670140857749 1908732408856 2055557978768 3340281715498 3817464817712 4111115957536 6680563430996 7634929635424 13361126861992 26722253723984 53444507447968