Search a number
-
+
253472648680 = 235194314895209
BaseRepresentation
bin1110110000010000100…
…1011010110111101000
3220020020221111200120001
43230010021122313220
513123102444224210
6312235502312344
724212200651636
oct3540411326750
9806227450501
10253472648680
119855177a639
124115b5886b4
131ab9666ccb4
14c3a7ad0356
1568d7b2203a
hex3b0425ade8

253472648680 has 128 divisors (see below), whose sum is σ = 614821680000. Its totient is φ = 93738000384.

The previous prime is 253472648659. The next prime is 253472648683. The reversal of 253472648680 is 86846274352.

It is not an unprimeable number, because it can be changed into a prime (253472648683) 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, 48657916 + ... + 48663124.

It is an arithmetic number, because the mean of its divisors is an integer number (4803294375).

Almost surely, 2253472648680 is an apocalyptic number.

253472648680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253472648680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307410840000).

253472648680 is an abundant number, since it is smaller than the sum of its proper divisors (361349031320).

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

253472648680 is a wasteful number, since it uses less digits than its factorization.

253472648680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6771 (or 6767 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 55.

The spelling of 253472648680 in words is "two hundred fifty-three billion, four hundred seventy-two million, six hundred forty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 19 20 38 40 43 76 86 95 152 172 190 215 344 380 430 760 817 860 1489 1634 1720 2978 3268 4085 5209 5956 6536 7445 8170 10418 11912 14890 16340 20836 26045 28291 29780 32680 41672 52090 56582 59560 64027 98971 104180 113164 128054 141455 197942 208360 223987 226328 256108 282910 320135 395884 447974 494855 512216 565820 640270 791768 895948 989710 1119935 1131640 1216513 1280540 1791896 1979420 2239870 2433026 2561080 3958840 4255753 4479740 4866052 6082565 7756201 8511506 8959480 9732104 12165130 15512402 17023012 21278765 24330260 31024804 34046024 38781005 42557530 48660520 62049608 77562010 85115060 147367819 155124020 170230120 294735638 310248040 333516643 589471276 667033286 736839095 1178942552 1334066572 1473678190 1667583215 2668133144 2947356380 3335166430 5894712760 6336816217 6670332860 12673632434 13340665720 25347264868 31684081085 50694529736 63368162170 126736324340 253472648680