Search a number
-
+
32971315920 = 2435472922989
BaseRepresentation
bin11110101101001111…
…100101101011010000
310011002211100101112220
4132231033211223100
51020011124102140
623051413421040
72245026363324
oct365517455320
9104084311486
1032971315920
1112a8a4a2724
12648203a780
133155b455ba
14184ad05984
15cce903bd0
hex7ad3e5ad0

32971315920 has 80 divisors (see below), whose sum is σ = 104385818880. Its totient is φ = 8605276672.

The previous prime is 32971315913. The next prime is 32971315921. The reversal of 32971315920 is 2951317923.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32971315921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1450215 + ... + 1472774.

It is an arithmetic number, because the mean of its divisors is an integer number (1304822736).

Almost surely, 232971315920 is an apocalyptic number.

32971315920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32971315920 is an abundant number, since it is smaller than the sum of its proper divisors (71414502960).

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

32971315920 is a wasteful number, since it uses less digits than its factorization.

32971315920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2923052 (or 2923046 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 42.

The spelling of 32971315920 in words is "thirty-two billion, nine hundred seventy-one million, three hundred fifteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 376 470 564 705 752 940 1128 1410 1880 2256 2820 3760 5640 11280 2922989 5845978 8768967 11691956 14614945 17537934 23383912 29229890 35075868 43844835 46767824 58459780 70151736 87689670 116919560 137380483 140303472 175379340 233839120 274760966 350758680 412141449 549521932 686902415 701517360 824282898 1099043864 1373804830 1648565796 2060707245 2198087728 2747609660 3297131592 4121414490 5495219320 6594263184 8242828980 10990438640 16485657960 32971315920