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5258670417 = 357111321663
BaseRepresentation
bin1001110010111000…
…01111000101010001
3111120111010010200000
410321130033011101
541232204423132
62225451320213
7244212650430
oct47134170521
914514103600
105258670417
112259422a10
121029150069
1365a618900
1437c597117
1520b9ee87c
hex13970f151

5258670417 has 144 divisors (see below), whose sum is σ = 10640867328. Its totient is φ = 2520123840.

The previous prime is 5258670359. The next prime is 5258670449. The reversal of 5258670417 is 7140768525.

5258670417 is a `hidden beast` number, since 52 + 586 + 7 + 0 + 4 + 17 = 666.

It is not a de Polignac number, because 5258670417 - 26 = 5258670353 is a prime.

It is a super-2 number, since 2×52586704172 = 55307229109261907778, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5258670497) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3161328 + ... + 3162990.

It is an arithmetic number, because the mean of its divisors is an integer number (73894912).

Almost surely, 25258670417 is an apocalyptic number.

It is an amenable number.

5258670417 is an abundant number, since it is smaller than the sum of its proper divisors (5382196911).

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

5258670417 is a wasteful number, since it uses less digits than its factorization.

5258670417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1722 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 5258670417 is about 72516.6906098175. The cubic root of 5258670417 is about 1738.9695771842.

The spelling of 5258670417 in words is "five billion, two hundred fifty-eight million, six hundred seventy thousand, four hundred seventeen".

Divisors: 1 3 7 9 11 13 21 27 33 39 63 77 81 91 99 117 143 169 189 231 243 273 297 351 429 507 567 693 819 891 1001 1053 1183 1287 1521 1663 1701 1859 2079 2457 2673 3003 3159 3549 3861 4563 4989 5577 6237 7371 9009 10647 11583 11641 13013 13689 14967 16731 18293 18711 21619 22113 27027 31941 34749 34923 39039 41067 44901 50193 54879 64857 81081 95823 104769 117117 128051 134703 150579 151333 164637 194571 237809 243243 281047 287469 314307 351351 384153 404109 451737 453999 493911 583713 713427 843141 942921 1054053 1152459 1361997 1481733 1664663 1751139 1967329 2140281 2529423 2828763 3091517 3162159 3457377 4085991 4445199 4993989 5253417 5901987 6420843 7588269 9274551 10372131 12257973 14981967 17705961 19262529 21640619 22764807 27823653 31116393 36773919 44945901 53117883 57787587 64921857 68294421 83470959 134837703 159353649 194765571 250412877 404513109 478060947 584296713 751238631 1752890139 5258670417