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96249490092 = 223272131416513
BaseRepresentation
bin101100110100011101…
…0101010101010101100
3100012102210101200212100
41121220322222222230
53034104332140332
6112114424335100
76645103111200
oct1315072525254
9305383350770
1096249490092
1137901367538
12167a1914490
1390cb7b2602
144930cd2b00
152784d4767c
hex1668eaaaac

96249490092 has 108 divisors (see below), whose sum is σ = 285180471576. Its totient is φ = 27289866240.

The previous prime is 96249490081. The next prime is 96249490093. The reversal of 96249490092 is 29009494269.

96249490092 is a `hidden beast` number, since 9 + 62 + 4 + 9 + 490 + 0 + 92 = 666.

It is not an unprimeable number, because it can be changed into a prime (96249490093) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 22828 + ... + 439340.

It is an arithmetic number, because the mean of its divisors is an integer number (2640559922).

Almost surely, 296249490092 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 96249490092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142590235788).

96249490092 is an abundant number, since it is smaller than the sum of its proper divisors (188930981484).

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

96249490092 is a wasteful number, since it uses less digits than its factorization.

96249490092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416668 (or 416656 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 96249490092 in words is "ninety-six billion, two hundred forty-nine million, four hundred ninety thousand, ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 131 147 196 252 262 294 393 441 524 588 786 882 917 1179 1572 1764 1834 2358 2751 3668 4716 5502 6419 8253 11004 12838 16506 19257 25676 33012 38514 57771 77028 115542 231084 416513 833026 1249539 1666052 2499078 2915591 3748617 4998156 5831182 7497234 8746773 11662364 14994468 17493546 20409137 26240319 34987092 40818274 52480638 54563203 61227411 81636548 104961276 109126406 122454822 163689609 183682233 218252812 244909644 327379218 367364466 381942421 491068827 654758436 734728932 763884842 982137654 1145827263 1527769684 1964275308 2291654526 2673596947 3437481789 4583309052 5347193894 6874963578 8020790841 10694387788 13749927156 16041581682 24062372523 32083163364 48124745046 96249490092