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1463674564 = 22112372472
BaseRepresentation
bin101011100111101…
…1110011011000100
310210000011101001001
41113033132123010
510444200041224
6401123343044
751162012532
oct12717363304
93700141031
101463674564
1169122a400
1234a221a84
131a4314131
14dc569152
1588771544
hex573de6c4

1463674564 has 81 divisors (see below), whose sum is σ = 2956482669. Its totient is φ = 633552480.

The previous prime is 1463674561. The next prime is 1463674567. The reversal of 1463674564 is 4654763641.

The square root of 1463674564 is 38258.

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 (1463674561) and next prime (1463674567).

It can be written as a sum of positive squares in only one way, i.e., 1309716100 + 153958464 = 36190^2 + 12408^2 .

It is not an unprimeable number, because it can be changed into a prime (1463674561) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 31141989 + ... + 31142035.

Almost surely, 21463674564 is an apocalyptic number.

1463674564 is the 38258-th square number.

It is an amenable number.

1463674564 is an abundant number, since it is smaller than the sum of its proper divisors (1492808105).

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

1463674564 is a wasteful number, since it uses less digits than its factorization.

1463674564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 97 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 46.

The cubic root of 1463674564 is about 1135.3981315931.

The spelling of 1463674564 in words is "one billion, four hundred sixty-three million, six hundred seventy-four thousand, five hundred sixty-four".

Divisors: 1 2 4 11 22 37 44 47 74 94 121 148 188 242 407 484 517 814 1034 1369 1628 1739 2068 2209 2738 3478 4418 4477 5476 5687 6956 8836 8954 11374 15059 17908 19129 22748 24299 30118 38258 48598 60236 64343 76516 81733 97196 128686 163466 165649 210419 257372 267289 326932 331298 420838 534578 662596 707773 841676 899063 1069156 1415546 1798126 2831092 3024121 3596252 6048242 7785503 9889693 12096484 15571006 19779386 31142012 33265331 39558772 66530662 133061324 365918641 731837282 1463674564