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745812285456 = 24379760737699
BaseRepresentation
bin10101101101001011110…
…00000101100000010000
32122022001221101121222010
422312211320011200100
544204410421113311
61330342121342520
7104611631553660
oct12664570054020
92568057347863
10745812285456
1126832a656837
12100663037a40
1355439742b64
14281517ba1a0
1514600e97da6
hexada5e05810

745812285456 has 160 divisors (see below), whose sum is σ = 2228346265600. Its totient is φ = 210539409408.

The previous prime is 745812285397. The next prime is 745812285457. The reversal of 745812285456 is 654582218547.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 745812285396 and 745812285405.

It is not an unprimeable number, because it can be changed into a prime (745812285457) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19764495 + ... + 19802193.

It is an arithmetic number, because the mean of its divisors is an integer number (13927164160).

Almost surely, 2745812285456 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 745812285456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114173132800).

745812285456 is an abundant number, since it is smaller than the sum of its proper divisors (1482533980144).

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

745812285456 is a wasteful number, since it uses less digits than its factorization.

745812285456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38421 (or 38415 counting only the distinct ones).

The product of its digits is 21504000, while the sum is 57.

The spelling of 745812285456 in words is "seven hundred forty-five billion, eight hundred twelve million, two hundred eighty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 97 112 168 194 291 336 388 582 607 679 776 1164 1214 1358 1552 1821 2037 2328 2428 2716 3642 4074 4249 4656 4856 5432 7284 8148 8498 9712 10864 12747 14568 16296 16996 25494 29136 32592 33992 37699 50988 58879 67984 75398 101976 113097 117758 150796 176637 203952 226194 235516 263893 301592 353274 412153 452388 471032 527786 603184 706548 791679 824306 904776 942064 1055572 1236459 1413096 1583358 1648612 1809552 2111144 2472918 2826192 3166716 3297224 3656803 4222288 4945836 6333432 6594448 7313606 9891672 10970409 12666864 14627212 19783344 21940818 22883293 25597621 29254424 43881636 45766586 51195242 58508848 68649879 76792863 87763272 91533172 102390484 137299758 153585726 160183051 175526544 183066344 204780968 274599516 307171452 320366102 366132688 409561936 480549153 549199032 614342904 640732204 961098306 1098398064 1228685808 1281464408 1922196612 2219679421 2562928816 3844393224 4439358842 6659038263 7688786448 8878717684 13318076526 15537755947 17757435368 26636153052 31075511894 35514870736 46613267841 53272306104 62151023788 93226535682 106544612208 124302047576 186453071364 248604095152 372906142728 745812285456