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10081468488 = 2337136537069
BaseRepresentation
bin10010110001110011…
…10000000001001000
3222000121001122212210
421120321300001020
5131121323442423
64344212505120
7504554032260
oct113071600110
928017048783
1010081468488
1143037a9543
121b5431b1a0
13c48843090
146b8ccc7a0
153e0101b93
hex258e70048

10081468488 has 128 divisors (see below), whose sum is σ = 31071801600. Its totient is φ = 2654401536.

The previous prime is 10081468459. The next prime is 10081468489. The reversal of 10081468488 is 88486418001.

It is a happy number.

It is a super-2 number, since 2×100814684882 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10081468489) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1422618 + ... + 1429686.

It is an arithmetic number, because the mean of its divisors is an integer number (242748450).

Almost surely, 210081468488 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 10081468488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15535900800).

10081468488 is an abundant number, since it is smaller than the sum of its proper divisors (20990333112).

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

10081468488 is a wasteful number, since it uses less digits than its factorization.

10081468488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7751 (or 7747 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 48.

The spelling of 10081468488 in words is "ten billion, eighty-one million, four hundred sixty-eight thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 653 728 1092 1306 1959 2184 2612 3918 4571 5224 7069 7836 8489 9142 13713 14138 15672 16978 18284 21207 25467 27426 28276 33956 36568 42414 49483 50934 54852 56552 59423 67912 84828 91897 98966 101868 109704 118846 148449 169656 178269 183794 197932 203736 237692 275691 296898 356538 367588 395864 475384 551382 593796 643279 713076 735176 1102764 1187592 1286558 1426152 1929837 2205528 2573116 3859674 4616057 5146232 7719348 9232114 13848171 15438696 18464228 27696342 32312399 36928456 55392684 60008741 64624798 96937197 110785368 120017482 129249596 180026223 193874394 240034964 258499192 360052446 387748788 420061187 480069928 720104892 775497576 840122374 1260183561 1440209784 1680244748 2520367122 3360489496 5040734244 10081468488