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98745520644 = 22328326312
BaseRepresentation
bin101101111110110110…
…0010001001000000100
3100102212202010012002100
41123331230101020010
53104212323130034
6113210231112100
710064002035201
oct1337554211004
9312782105070
1098745520644
11389722aa201
1217179812630
139408952074
144aca5ccca8
15287e03c099
hex16fdb11204

98745520644 has 81 divisors (see below), whose sum is σ = 253051306599. Its totient is φ = 32467070160.

The previous prime is 98745520633. The next prime is 98745520669. The reversal of 98745520644 is 44602554789.

The square root of 98745520644 is 314238.

It is a perfect power (a square), and thus also a powerful number.

98745520644 is a `hidden beast` number, since 9 + 8 + 74 + 5 + 520 + 6 + 44 = 666.

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 26 ways as a sum of consecutive naturals, for example, 156490209 + ... + 156490839.

Almost surely, 298745520644 is an apocalyptic number.

98745520644 is the 314238-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98745520644

98745520644 is an abundant number, since it is smaller than the sum of its proper divisors (154305785955).

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

98745520644 is an equidigital number, since it uses as much as digits as its factorization.

98745520644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 98745520644 in words is "ninety-eight billion, seven hundred forty-five million, five hundred twenty thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 249 332 498 631 747 996 1262 1494 1893 2524 2988 3786 5679 6889 7572 11358 13778 20667 22716 27556 41334 52373 62001 82668 104746 124002 157119 209492 248004 314238 398161 471357 628476 796322 942714 1194483 1592644 1885428 2388966 3583449 4346959 4777932 7166898 8693918 13040877 14333796 17387836 26081754 33047363 39122631 52163508 66094726 78245262 99142089 132189452 156490524 198284178 297426267 396568356 594852534 1189705068 2742931129 5485862258 8228793387 10971724516 16457586774 24686380161 32915173548 49372760322 98745520644