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125764472448 = 273417713533
BaseRepresentation
bin111010100100000100…
…1011000111010000000
3110000121202001011010000
41311020021120322000
54030031201104243
6133435253040000
712041363243346
oct1651011307200
9400552034100
10125764472448
114937784763a
122045a326000
13bb23539c04
146130b65996
1534110b75d3
hex1d48258e80

125764472448 has 160 divisors (see below), whose sum is σ = 396289648260. Its totient is φ = 39455465472.

The previous prime is 125764472447. The next prime is 125764472453. The reversal of 125764472448 is 844274467521.

125764472448 is a `hidden beast` number, since 1 + 2 + 576 + 4 + 4 + 7 + 24 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 120486740544 + 5277731904 = 347112^2 + 72648^2 .

It is a super-2 number, since 2×1257644724482 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 125764472394 and 125764472403.

It is not an unprimeable number, because it can be changed into a prime (125764472447) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 180511 + ... + 533022.

Almost surely, 2125764472448 is an apocalyptic number.

125764472448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

125764472448 is an abundant number, since it is smaller than the sum of its proper divisors (270525175812).

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

125764472448 is an equidigital number, since it uses as much as digits as its factorization.

125764472448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713576 (or 713555 counting only the distinct ones).

The product of its digits is 12042240, while the sum is 54.

The spelling of 125764472448 in words is "one hundred twenty-five billion, seven hundred sixty-four million, four hundred seventy-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 128 136 144 153 162 192 204 216 272 288 306 324 384 408 432 459 544 576 612 648 816 864 918 1088 1152 1224 1296 1377 1632 1728 1836 2176 2448 2592 2754 3264 3456 3672 4896 5184 5508 6528 7344 9792 10368 11016 14688 19584 22032 29376 44064 58752 88128 176256 713533 1427066 2140599 2854132 4281198 5708264 6421797 8562396 11416528 12130061 12843594 17124792 19265391 22833056 24260122 25687188 34249584 36390183 38530782 45666112 48520244 51374376 57796173 68499168 72780366 77061564 91332224 97040488 102748752 109170549 115592346 136998336 145560732 154123128 194080976 205497504 218341098 231184692 273996672 291121464 308246256 327511647 388161952 410995008 436682196 462369384 582242928 616492512 655023294 776323904 821990016 873364392 924738768 982534941 1164485856 1232985024 1310046588 1552647808 1746728784 1849477536 1965069882 2328971712 2465970048 2620093176 3493457568 3698955072 3930139764 4657943424 5240186352 6986915136 7397910144 7860279528 10480372704 13973830272 15720559056 20960745408 31441118112 41921490816 62882236224 125764472448