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913240164496 = 241123725872
BaseRepresentation
bin11010100101000010101…
…10110000100010010000
310020022020021111010110011
431102201112300202100
5104430303440230441
61535311534044304
7122656641214132
oct15224126604220
93208207433404
10913240164496
113223372a0400
12128baa349694
136816c83877a
14322b59cb052
1518b4eabd581
hexd4a15b0890

913240164496 has 135 divisors (see below), whose sum is σ = 2002276811577. Its totient is φ = 403201941120.

The previous prime is 913240164469. The next prime is 913240164517. The reversal of 913240164496 is 694461042319.

The square root of 913240164496 is 955636.

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

It can be written as a sum of positive squares in only one way, i.e., 817179840400 + 96060324096 = 903980^2 + 309936^2 .

It is a super-2 number, since 2×9132401644962 (a number of 25 digits) contains 22 as substring.

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, 1555775115 + ... + 1555775701.

Almost surely, 2913240164496 is an apocalyptic number.

913240164496 is the 955636-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 913240164496

913240164496 is an abundant number, since it is smaller than the sum of its proper divisors (1089036647081).

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

913240164496 is an equidigital number, since it uses as much as digits as its factorization.

913240164496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 49.

Multiplying 913240164496 by its sum of digits (49), we get a square (44748768060304 = 66894522).

The spelling of 913240164496 in words is "nine hundred thirteen billion, two hundred forty million, one hundred sixty-four thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 37 44 74 88 121 148 176 242 296 407 484 587 592 814 968 1174 1369 1628 1936 2348 2738 3256 4477 4696 5476 6457 6512 8954 9392 10952 12914 15059 17908 21719 21904 25828 30118 35816 43438 51656 60236 71027 71632 86876 103312 120472 142054 165649 173752 238909 240944 284108 331298 344569 347504 477818 568216 662596 689138 803603 955636 1136432 1325192 1378276 1607206 1911272 2627999 2650384 2756552 3214412 3790259 3822544 5255998 5513104 6428824 7580518 8839633 10511996 12749053 12857648 15161036 17679266 21023992 25498106 30322072 35358532 41692849 42047984 50996212 60644144 70717064 83385698 97235963 101992424 140239583 141434128 166771396 194471926 203984848 280479166 333542792 388943852 471714961 560958332 667085584 777887704 943429922 1121916664 1542635413 1555775408 1886859844 2243833328 3085270826 3773719688 5188864571 6170541652 7547439376 10377729142 12341083304 20755458284 24682166608 41510916568 57077510281 83021833136 114155020562 228310041124 456620082248 913240164496