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195803382646152 = 233215177951231041
BaseRepresentation
bin101100100001010100000111…
…000100011000010110001000
3221200021121202101200220022200
4230201110013010120112020
5201131020311424134102
61532234455431120200
756146220232343461
oct5441240704302610
9850247671626280
10195803382646152
1157430825a13716
1219b64010813060
138534244c02268
14364cd11973d68
151798466ada51c
hexb21507118588

195803382646152 has 96 divisors (see below), whose sum is σ = 533821912565760. Its totient is φ = 64834444800000.

The previous prime is 195803382646139. The next prime is 195803382646177. The reversal of 195803382646152 is 251646283308591.

195803382646152 is a `hidden beast` number, since 1 + 9 + 5 + 8 + 0 + 3 + 3 + 8 + 2 + 6 + 4 + 615 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 195803382646152.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 847367752 + ... + 847598792.

It is an arithmetic number, because the mean of its divisors is an integer number (5560644922560).

Almost surely, 2195803382646152 is an apocalyptic number.

195803382646152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

195803382646152 is an abundant number, since it is smaller than the sum of its proper divisors (338018529919608).

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

195803382646152 is a wasteful number, since it uses less digits than its factorization.

195803382646152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309155 (or 309148 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 195803382646152 in words is "one hundred ninety-five trillion, eight hundred three billion, three hundred eighty-two million, six hundred forty-six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 151 302 453 604 906 1208 1359 1812 2718 3624 5436 10872 77951 155902 231041 233853 311804 462082 467706 623608 693123 701559 924164 935412 1386246 1403118 1848328 1870824 2079369 2772492 2806236 4158738 5544984 5612472 8317476 11770601 16634952 23541202 34887191 35311803 47082404 69774382 70623606 94164808 104661573 105935409 139548764 141247212 209323146 211870818 279097528 282494424 313984719 418646292 423741636 627969438 837292584 847483272 1255938876 2511877752 18009876991 36019753982 54029630973 72039507964 108059261946 144079015928 162088892919 216118523892 324177785838 432237047784 648355571676 1296711143352 2719491425641 5438982851282 8158474276923 10877965702564 16316948553846 21755931405128 24475422830769 32633897107692 48950845661538 65267794215384 97901691323076 195803382646152