Search a number
-
+
262428621672 = 233761163157103
BaseRepresentation
bin1111010001100111110…
…1101111101101101000
3221002101002202020212110
43310121331233231220
513244423211343142
6320320312042320
724650140323240
oct3643175575550
9832332666773
10262428621672
11a132812a708
1242a3a9933a0
131b992c767b9
14c9b7324b20
156c5e00399c
hex3d19f6fb68

262428621672 has 128 divisors (see below), whose sum is σ = 766768066560. Its totient is φ = 73297509120.

The previous prime is 262428621667. The next prime is 262428621683. The reversal of 262428621672 is 276126824262.

It is a nude number because it is divisible by every one of its digits.

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, 1591873 + ... + 1748975.

It is an arithmetic number, because the mean of its divisors is an integer number (5990375520).

Almost surely, 2262428621672 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 262428621672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383384033280).

262428621672 is an abundant number, since it is smaller than the sum of its proper divisors (504339444888).

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

262428621672 is a wasteful number, since it uses less digits than its factorization.

262428621672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157343 (or 157339 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 48.

The spelling of 262428621672 in words is "two hundred sixty-two billion, four hundred twenty-eight million, six hundred twenty-one thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 61 84 122 163 168 183 244 326 366 427 488 489 652 732 854 978 1141 1281 1304 1464 1708 1956 2282 2562 3416 3423 3912 4564 5124 6846 9128 9943 10248 13692 19886 27384 29829 39772 59658 69601 79544 119316 139202 157103 208803 238632 278404 314206 417606 471309 556808 628412 835212 942618 1099721 1256824 1670424 1885236 2199442 3299163 3770472 4398884 6598326 8797768 9583283 13196652 19166566 25607789 26393304 28749849 38333132 51215578 57499698 67082981 76666264 76823367 102431156 114999396 134165962 153646734 179254523 201248943 204862312 229998792 268331924 307293468 358509046 402497886 536663848 537763569 614586936 717018092 804995772 1075527138 1434036184 1562075129 1609991544 2151054276 3124150258 4302108552 4686225387 6248300516 9372450774 10934525903 12496601032 18744901548 21869051806 32803577709 37489803096 43738103612 65607155418 87476207224 131214310836 262428621672