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95506372696 = 237531371931217
BaseRepresentation
bin101100011110010011…
…1111001100001011000
3100010112000002102102211
41120330213321201120
53031044112411241
6111513001004504
76620510526160
oct1307447714130
9303460072384
1095506372696
113755a948429
1216614a83734
139010857787
1448a03335a0
15273e9a9781
hex163c9f9858

95506372696 has 128 divisors (see below), whose sum is σ = 211301758080. Its totient is φ = 39626735616.

The previous prime is 95506372681. The next prime is 95506372763. The reversal of 95506372696 is 69627360559.

It is a self number, because there is not a number n which added to its sum of digits gives 95506372696.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78476280 + ... + 78477496.

It is an arithmetic number, because the mean of its divisors is an integer number (1650794985).

Almost surely, 295506372696 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 95506372696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105650879040).

95506372696 is an abundant number, since it is smaller than the sum of its proper divisors (115795385384).

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

95506372696 is a wasteful number, since it uses less digits than its factorization.

95506372696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 18370800, while the sum is 58.

The spelling of 95506372696 in words is "ninety-five billion, five hundred six million, three hundred seventy-two thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 28 53 56 106 137 193 212 274 371 386 424 548 742 772 959 1096 1217 1351 1484 1544 1918 2434 2702 2968 3836 4868 5404 7261 7672 8519 9736 10229 10808 14522 17038 20458 26441 29044 34076 40916 50827 52882 58088 64501 68152 71603 81832 101654 105764 129002 143206 166729 185087 203308 211528 234881 258004 286412 333458 370174 406616 451507 469762 516008 572824 666916 740348 903014 939524 1167103 1333832 1401373 1480696 1644167 1806028 1879048 2334206 2802746 3288334 3612056 4668412 5605492 6576668 8836637 9336824 9809611 11210984 12448693 13153336 17673274 19619222 24897386 32178697 35346548 39238444 49794772 61856459 64357394 70693096 78476888 87140851 99589544 123712918 128714788 174281702 225250879 247425836 257429576 348563404 450501758 494851672 697126808 901003516 1705470941 1802007032 3410941882 6821883764 11938296587 13643767528 23876593174 47753186348 95506372696