Search a number
-
+
203611133952 = 2113218161031
BaseRepresentation
bin1011110110100000101…
…0110101100000000000
3201110120000021022000100
42331220022311200000
511313443422241302
6233312045122400
720465450040222
oct2755012654000
9643500238010
10203611133952
11793951a4626
1233564b59400
131627b4ca025
149bd792c412
15546a4d4d1c
hex2f682b5800

203611133952 has 144 divisors (see below), whose sum is σ = 591325010640. Its totient is φ = 67494297600.

The previous prime is 203611133951. The next prime is 203611134029. The reversal of 203611133952 is 259331116302.

203611133952 is a `hidden beast` number, since 2 + 0 + 3 + 611 + 1 + 3 + 39 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203611133951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3305677 + ... + 3366707.

It is an arithmetic number, because the mean of its divisors is an integer number (4106423685).

Almost surely, 2203611133952 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 203611133952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295662505320).

203611133952 is an abundant number, since it is smaller than the sum of its proper divisors (387713876688).

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

203611133952 is a wasteful number, since it uses less digits than its factorization.

203611133952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61240 (or 61217 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 203611133952 in words is "two hundred three billion, six hundred eleven million, one hundred thirty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 181 192 256 288 362 384 512 543 576 724 768 1024 1086 1152 1448 1536 1629 2048 2172 2304 2896 3072 3258 4344 4608 5792 6144 6516 8688 9216 11584 13032 17376 18432 23168 26064 34752 46336 52128 61031 69504 92672 104256 122062 139008 183093 185344 208512 244124 278016 366186 370688 417024 488248 549279 556032 732372 834048 976496 1098558 1112064 1464744 1668096 1952992 2197116 2929488 3336192 3905984 4394232 5858976 7811968 8788464 11046611 11717952 15623936 17576928 22093222 23435904 31247872 33139833 35153856 44186444 46871808 62495744 66279666 70307712 88372888 93743616 99419499 124991488 132559332 140615424 176745776 187487232 198838998 265118664 281230848 353491552 374974464 397677996 530237328 562461696 706983104 795355992 1060474656 1124923392 1413966208 1590711984 2120949312 2827932416 3181423968 4241898624 5655864832 6362847936 8483797248 11311729664 12725695872 16967594496 22623459328 25451391744 33935188992 50902783488 67870377984 101805566976 203611133952