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13907126559076 = 2229211325692
BaseRepresentation
bin1100101001100000000101…
…0101101010000101100100
31211020111201120011022201021
43022120001111222011210
53310323243344342301
645324502402540524
72633520363211162
oct312300125520544
954214646138637
1013907126559076
114481a85425933
121687364667744
1379b589a2c98a
14361173ab0232
15191b5267b8a1
hexca60156a164

13907126559076 has 81 divisors (see below), whose sum is σ = 25475438196481. Its totient is φ = 6642676354048.

The previous prime is 13907126559061. The next prime is 13907126559091. The reversal of 13907126559076 is 67095562170931.

It is a happy number.

The square root of 13907126559076 is 3729226.

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

It is an interprime number because it is at equal distance from previous prime (13907126559061) and next prime (13907126559091).

It can be written as a sum of positive squares in 13 ways, for example, as 13303745604900 + 603380954176 = 3647430^2 + 776776^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24441346920 + ... + 24441347488.

Almost surely, 213907126559076 is an apocalyptic number.

13907126559076 is the 3729226-th square number.

It is an amenable number.

13907126559076 is a deficient number, since it is larger than the sum of its proper divisors (11568311637405).

13907126559076 is an frugal number, since it uses more digits than its factorization.

13907126559076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 21432600, while the sum is 61.

The spelling of 13907126559076 in words is "thirteen trillion, nine hundred seven billion, one hundred twenty-six million, five hundred fifty-nine thousand, seventy-six".

Divisors: 1 2 4 29 58 113 116 226 452 569 841 1138 1682 2276 3277 3364 6554 12769 13108 16501 25538 33002 51076 64297 66004 95033 128594 190066 257188 323761 370301 380132 478529 647522 740602 957058 1295044 1481204 1864613 1914116 3729226 7265561 7458452 9389069 10738729 14531122 18778138 21477458 29062244 36584993 37556276 42954916 54073777 73169986 108147554 146339972 210701269 216295108 272283001 421402538 544566002 842805076 1060964797 1089132004 2121929594 4134104209 4243859188 6110336801 8268208418 12220673602 16536416836 24441347204 30767979113 61535958226 119889022061 123071916452 239778044122 479556088244 3476781639769 6953563279538 13907126559076