Search a number
-
+
153563382414 = 233131712867721
BaseRepresentation
bin1000111100000100010…
…1110100001010001110
3112200101002121002121000
42033001011310022032
510003444211214124
6154313540121130
714044305133161
oct2170105641216
9480332532530
10153563382414
115a1425870a2
12259180961a6
13116338ab470
14760ab2bad8
153edb85b6c9
hex23c117428e

153563382414 has 64 divisors (see below), whose sum is σ = 389119913280. Its totient is φ = 44470840320.

The previous prime is 153563382383. The next prime is 153563382443. The reversal of 153563382414 is 414283365351.

153563382414 is a `hidden beast` number, since 1 + 5 + 3 + 5 + 633 + 8 + 2 + 4 + 1 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 153563382414.

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, 6421927 + ... + 6445794.

It is an arithmetic number, because the mean of its divisors is an integer number (6079998645).

Almost surely, 2153563382414 is an apocalyptic number.

153563382414 is an abundant number, since it is smaller than the sum of its proper divisors (235556530866).

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

153563382414 is a wasteful number, since it uses less digits than its factorization.

153563382414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12867762 (or 12867756 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 153563382414 in words is "one hundred fifty-three billion, five hundred sixty-three million, three hundred eighty-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 102 117 153 221 234 306 351 442 459 663 702 918 1326 1989 3978 5967 11934 12867721 25735442 38603163 77206326 115809489 167280373 218751257 231618978 334560746 347428467 437502514 501841119 656253771 694856934 1003682238 1312507542 1505523357 1968761313 2843766341 3011046714 3937522626 4516570071 5687532682 5906283939 8531299023 9033140142 11812567878 17062598046 25593897069 51187794138 76781691207 153563382414