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45162494945104 = 24171572704339107
BaseRepresentation
bin10100100010011001101100…
…11101111110011101010000
312220220111021220221121222211
422101030312131332131100
521404420242201220404
6240015210323241504
712340611504045415
oct1221146635763520
9186814256847884
1045162494945104
1113432341015999
125094964219294
131c27a60778004
14b21c3ac6c10c
15534ba7e58b04
hex29133677e750

45162494945104 has 80 divisors (see below), whose sum is σ = 93245486603328. Its totient is φ = 21116248897536.

The previous prime is 45162494945101. The next prime is 45162494945153. The reversal of 45162494945104 is 40154949426154.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45162494945101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1154824719 + ... + 1154863825.

Almost surely, 245162494945104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45162494945104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46622743301664).

45162494945104 is an abundant number, since it is smaller than the sum of its proper divisors (48082991658224).

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

45162494945104 is a wasteful number, since it uses less digits than its factorization.

45162494945104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66332 (or 66326 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 58.

The spelling of 45162494945104 in words is "forty-five trillion, one hundred sixty-two billion, four hundred ninety-four million, nine hundred forty-five thousand, one hundred four".

Divisors: 1 2 4 8 16 17 34 68 136 157 272 314 628 1256 2512 2669 5338 10676 21352 27043 39107 42704 54086 78214 108172 156428 216344 312856 432688 459731 625712 664819 919462 1329638 1838924 2659276 3677848 4245751 5318552 6139799 7355696 8491502 10637104 12279598 16983004 24559196 33966008 49118392 67932016 72177767 98236784 104376583 144355534 208753166 288711068 417506332 577422136 835012664 1057570601 1154844272 1670025328 2115141202 4230282404 8460564808 16921129616 17978700217 35957400434 71914800868 143829601736 166038584357 287659203472 332077168714 664154337428 1328308674856 2656617349712 2822655934069 5645311868138 11290623736276 22581247472552 45162494945104