Search a number
-
+
95425904364 = 223721727193511
BaseRepresentation
bin101100011011111010…
…0111011111011101100
3100010022101200012122020
41120313310323323230
53030413012414424
6111501004150140
76615512542500
oct1306764737354
9303271605566
1095425904364
113751948737a
12165b1b38350
138cc9c9218b
144893788300
1527378b2079
hex1637d3beec

95425904364 has 144 divisors (see below), whose sum is σ = 274428241920. Its totient is φ = 25644003840.

The previous prime is 95425904359. The next prime is 95425904423. The reversal of 95425904364 is 46340952459.

It is a super-2 number, since 2×954259043642 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27177369 + ... + 27180879.

It is an arithmetic number, because the mean of its divisors is an integer number (1905751680).

Almost surely, 295425904364 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 95425904364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137214120960).

95425904364 is an abundant number, since it is smaller than the sum of its proper divisors (179002337556).

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

95425904364 is a wasteful number, since it uses less digits than its factorization.

95425904364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6268 (or 6259 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 51.

The spelling of 95425904364 in words is "ninety-five billion, four hundred twenty-five million, nine hundred four thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 68 84 98 102 119 147 196 204 238 294 357 476 588 714 833 1428 1666 2499 2719 3332 3511 4998 5438 7022 8157 9996 10533 10876 14044 16314 19033 21066 24577 32628 38066 42132 46223 49154 57099 59687 73731 76132 92446 98308 114198 119374 133231 138669 147462 172039 179061 184892 228396 238748 266462 277338 294924 323561 344078 358122 399693 417809 516117 532924 554676 647122 688156 716244 799386 835618 970683 1032234 1253427 1294244 1598772 1671236 1941366 2064468 2264927 2506854 2924663 3882732 4529854 5013708 5849326 6794781 8773989 9059708 9546409 11698652 13589562 17547978 19092818 27179124 28639227 35095956 38185636 57278454 66824863 114556908 133649726 162288953 200474589 267299452 324577906 400949178 467774041 486866859 649155812 801898356 935548082 973733718 1136022671 1403322123 1871096164 1947467436 2272045342 2806644246 3408068013 4544090684 5613288492 6816136026 7952158697 13632272052 15904317394 23856476091 31808634788 47712952182 95425904364