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23148151608 = 23331471036427
BaseRepresentation
bin10101100011101111…
…001100001100111000
32012202020022221101110
4111203233030030320
5334401411322413
614344545120320
71446430020321
oct254357141470
965666287343
1023148151608
1198a9589a0a
1245a03290a0
13224b99193a
141198455448
159073268c3
hex563bcc338

23148151608 has 128 divisors (see below), whose sum is σ = 61610065920. Its totient is φ = 7236190080.

The previous prime is 23148151589. The next prime is 23148151613. The reversal of 23148151608 is 80615184132.

It is a congruent number.

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, 3598491 + ... + 3604917.

It is an arithmetic number, because the mean of its divisors is an integer number (481328640).

Almost surely, 223148151608 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 23148151608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30805032960).

23148151608 is an abundant number, since it is smaller than the sum of its proper divisors (38461914312).

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

23148151608 is a wasteful number, since it uses less digits than its factorization.

23148151608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6617 (or 6613 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 23148151608 in words is "twenty-three billion, one hundred forty-eight million, one hundred fifty-one thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 24 31 47 62 93 94 103 124 141 186 188 206 248 282 309 372 376 412 564 618 744 824 1128 1236 1457 2472 2914 3193 4371 4841 5828 6386 6427 8742 9579 9682 11656 12772 12854 14523 17484 19158 19281 19364 25544 25708 29046 34968 38316 38562 38728 51416 58092 76632 77124 116184 150071 154248 199237 300142 302069 398474 450213 597711 600284 604138 661981 796948 900426 906207 1195422 1200568 1208276 1323962 1593896 1800852 1812414 1985943 2390844 2416552 2647924 3601704 3624828 3971886 4781688 5295848 7249656 7943772 9364139 15887544 18728278 20521411 28092417 31113107 37456556 41042822 56184834 61564233 62226214 74913112 82085644 93339321 112369668 123128466 124452428 164171288 186678642 224739336 246256932 248904856 373357284 492513864 746714568 964506317 1929012634 2893518951 3858025268 5787037902 7716050536 11574075804 23148151608