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465385223968 = 25725911534363
BaseRepresentation
bin1101100010110110001…
…11101111011100100000
31122111020111101220020121
412301123013233130200
530111102104131333
6553443420250024
745423452064100
oct6613307573440
91574214356217
10465385223968
1116a40690a985
12762406a0914
1334b68993c92
141874bd53200
15c18bce832d
hex6c5b1ef720

465385223968 has 144 divisors (see below), whose sum is σ = 1085068625760. Its totient is φ = 195855335424.

The previous prime is 465385223957. The next prime is 465385223977. The reversal of 465385223968 is 869322583564.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106664155 + ... + 106668517.

It is an arithmetic number, because the mean of its divisors is an integer number (7535198790).

Almost surely, 2465385223968 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 465385223968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542534312880).

465385223968 is an abundant number, since it is smaller than the sum of its proper divisors (619683401792).

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

465385223968 is a wasteful number, since it uses less digits than its factorization.

465385223968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5599 (or 5584 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 61.

The spelling of 465385223968 in words is "four hundred sixty-five billion, three hundred eighty-five million, two hundred twenty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 59 98 112 118 196 224 236 392 413 472 784 826 944 1153 1568 1652 1888 2306 2891 3304 4363 4612 5782 6608 8071 8726 9224 11564 13216 16142 17452 18448 23128 30541 32284 34904 36896 46256 56497 61082 64568 68027 69808 92512 112994 122164 129136 136054 139616 213787 225988 244328 257417 258272 272108 427574 451976 476189 488656 514834 544216 855148 903952 952378 977312 1029668 1088432 1710296 1801919 1807904 1904756 2059336 2176864 3333323 3420592 3603838 3809512 4118672 5030539 6666646 6841184 7207676 7619024 8237344 10061078 12613433 13333292 14415352 15238048 20122156 25226866 26666584 28830704 35213773 40244312 50453732 53333168 57661408 70427546 80488624 100907464 106666336 140855092 160977248 201814928 246496411 281710184 296801801 403629856 492992822 563420368 593603602 985985644 1126840736 1187207204 1971971288 2077612607 2374414408 3943942576 4155225214 4748828816 7887885152 8310450428 9497657632 14543288249 16620900856 29086576498 33241801712 58173152996 66483603424 116346305992 232692611984 465385223968