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134053977525864 = 233112371247617243
BaseRepresentation
bin11110011110101111011111…
…101101100000111001101000
3122120122102202011221102001120
4132132233133231200321220
5120032320021221311424
61153035314101415240
740144036350131634
oct3636573755407150
9576572664842046
10134053977525864
1139793a77595a00
1213050685a0a520
1359a530b1a3726
1425163661b1dc4
1510770b91cea79
hex79ebdfb60e68

134053977525864 has 96 divisors (see below), whose sum is σ = 378327453070560. Its totient is φ = 39524514226560.

The previous prime is 134053977525851. The next prime is 134053977525943. The reversal of 134053977525864 is 468525779350431.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 623701174 + ... + 623916069.

It is an arithmetic number, because the mean of its divisors is an integer number (3940910969485).

It is a 1-persistent number, because it is pandigital, but 2⋅134053977525864 = 268107955051728 is not.

Almost surely, 2134053977525864 is an apocalyptic number.

It is an amenable number.

134053977525864 is an abundant number, since it is smaller than the sum of its proper divisors (244273475544696).

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

134053977525864 is a wasteful number, since it uses less digits than its factorization.

134053977525864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247617311 (or 1247617296 counting only the distinct ones).

The product of its (nonzero) digits is 762048000, while the sum is 69.

The spelling of 134053977525864 in words is "one hundred thirty-four trillion, fifty-three billion, nine hundred seventy-seven million, five hundred twenty-five thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 121 132 148 222 242 264 296 363 407 444 484 726 814 888 968 1221 1452 1628 2442 2904 3256 4477 4884 8954 9768 13431 17908 26862 35816 53724 107448 1247617243 2495234486 3742851729 4990468972 7485703458 9980937944 13723789673 14971406916 27447579346 29942813832 41171369019 46161837991 54895158692 82342738038 92323675982 109790317384 138485513973 150961686403 164685476076 184647351964 276971027946 301923372806 329370952152 369294703928 452885059209 507780217901 553942055892 603846745612 905770118418 1015560435802 1107884111784 1207693491224 1523340653703 1811540236836 2031120871604 3046681307406 3623080473672 4062241743208 5585582396911 6093362614812 11171164793822 12186725229624 16756747190733 22342329587644 33513494381466 44684659175288 67026988762932 134053977525864