Search a number
-
+
5164608432 = 2431731613347
BaseRepresentation
bin1001100111101010…
…11010101110110000
3111022221010021212210
410303311122232300
541034114432212
62212251252120
7241661306304
oct46365325660
914287107783
105164608432
112210317835
12100174a040
13643ca3b29
1436dcadd04
1520361e53c
hex133d5abb0

5164608432 has 160 divisors (see below), whose sum is σ = 14825908224. Its totient is φ = 1541836800.

The previous prime is 5164608409. The next prime is 5164608467. The reversal of 5164608432 is 2348064615.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1541383 + ... + 1544729.

Almost surely, 25164608432 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 5164608432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7412954112).

5164608432 is an abundant number, since it is smaller than the sum of its proper divisors (9661299792).

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

5164608432 is a wasteful number, since it uses less digits than its factorization.

5164608432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3467 (or 3461 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 5164608432 is about 71865.2101645852. The cubic root of 5164608432 is about 1728.5388033873.

The spelling of 5164608432 in words is "five billion, one hundred sixty-four million, six hundred eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 34 48 51 61 62 68 93 102 122 124 136 183 186 204 244 248 272 366 372 408 488 496 527 732 744 816 976 1037 1054 1464 1488 1581 1891 2074 2108 2928 3111 3162 3347 3782 4148 4216 5673 6222 6324 6694 7564 8296 8432 10041 11346 12444 12648 13388 15128 16592 20082 22692 24888 25296 26776 30256 32147 40164 45384 49776 53552 56899 64294 80328 90768 96441 103757 113798 128588 160656 170697 192882 204167 207514 227596 257176 311271 341394 385764 408334 415028 455192 514352 612501 622542 682788 771528 816668 830056 910384 1225002 1245084 1365576 1543056 1633336 1660112 1763869 2450004 2490168 2731152 3266672 3470839 3527738 4900008 4980336 5291607 6329177 6941678 7055476 9800016 10412517 10583214 12658354 13883356 14110952 18987531 20825034 21166428 25316708 27766712 28221904 37975062 41650068 42332856 50633416 55533424 75950124 83300136 84665712 101266832 107596009 151900248 166600272 215192018 303800496 322788027 430384036 645576054 860768072 1291152108 1721536144 2582304216 5164608432