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454742560704 = 26347199253229
BaseRepresentation
bin1101001111000001100…
…01001100111111000000
31121110202210100120212010
412213200301030333000
524422303043420304
6544523355132520
744565641663235
oct6474061147700
91543683316763
10454742560704
11165945358503
1274170444140
1333b60ac10b3
141801c6dd78c
15bc677e1789
hex69e0c4cfc0

454742560704 has 112 divisors (see below), whose sum is σ = 1234952064000. Its totient is φ = 147609639936.

The previous prime is 454742560603. The next prime is 454742560717. The reversal of 454742560704 is 407065247454.

It is a super-2 number, since 2×4547425607042 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1669162 + ... + 1922390.

Almost surely, 2454742560704 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 454742560704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617476032000).

454742560704 is an abundant number, since it is smaller than the sum of its proper divisors (780209503296).

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

454742560704 is a wasteful number, since it uses less digits than its factorization.

454742560704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253490 (or 253480 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 48.

The spelling of 454742560704 in words is "four hundred fifty-four billion, seven hundred forty-two million, five hundred sixty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 141 188 192 199 282 376 398 564 597 752 796 1128 1194 1504 1592 2256 2388 3008 3184 4512 4776 6368 9024 9353 9552 12736 18706 19104 28059 37412 38208 56118 74824 112236 149648 224472 253229 299296 448944 506458 598592 759687 897888 1012916 1519374 1795776 2025832 3038748 4051664 6077496 8103328 11901763 12154992 16206656 23803526 24309984 35705289 47607052 48619968 50392571 71410578 95214104 100785142 142821156 151177713 190428208 201570284 285642312 302355426 380856416 403140568 571284624 604710852 761712832 806281136 1142569248 1209421704 1612562272 2285138496 2368450837 2418843408 3225124544 4736901674 4837686816 7105352511 9473803348 9675373632 14210705022 18947606696 28421410044 37895213392 56842820088 75790426784 113685640176 151580853568 227371280352 454742560704