Search a number
-
+
132153454041516 = 22332967816222473
BaseRepresentation
bin11110000011000101011111…
…101011110001100110101100
3122022220202011102201010211000
4132003011133223301212230
5114310200233213312031
61145022243023400300
736556525534064625
oct3603053753614654
9568822142633730
10132153454041516
1139120a68633726
12129a4284453090
13589802bb6364b
14248c393036a4c
1510429344d53e6
hex78315faf19ac

132153454041516 has 96 divisors (see below), whose sum is σ = 354486876811200. Its totient is φ = 42525867041280.

The previous prime is 132153454041493. The next prime is 132153454041619. The reversal of 132153454041516 is 615140454351231.

132153454041516 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 53 + 4 + 5 + 40 + 41 + 516 = 666.

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, 18126856 + ... + 24349328.

It is an arithmetic number, because the mean of its divisors is an integer number (3692571633450).

Almost surely, 2132153454041516 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 132153454041516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177243438405600).

132153454041516 is an abundant number, since it is smaller than the sum of its proper divisors (222333422769684).

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

132153454041516 is a wasteful number, since it uses less digits than its factorization.

132153454041516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6229296 (or 6229288 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 132153454041516 in words is "one hundred thirty-two trillion, one hundred fifty-three billion, four hundred fifty-four million, forty-one thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 522 783 1044 1566 3132 6781 13562 20343 27124 40686 61029 81372 122058 183087 196649 244116 366174 393298 589947 732348 786596 1179894 1769841 2359788 3539682 5309523 6222473 7079364 10619046 12444946 18667419 21238092 24889892 37334838 56002257 74669676 112004514 168006771 180451717 224009028 336013542 360903434 541355151 672027084 721806868 1082710302 1624065453 2165420604 3248130906 4872196359 6496261812 9744392718 19488785436 42194589413 84389178826 126583768239 168778357652 253167536478 379751304717 506335072956 759502609434 1139253914151 1223643092977 1519005218868 2278507828302 2447286185954 3670929278931 4557015656604 4894572371908 7341858557862 11012787836793 14683717115724 22025575673586 33038363510379 44051151347172 66076727020758 132153454041516