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98746435808 = 25192322513137
BaseRepresentation
bin101101111110110111…
…1110000100011100000
3100102212210211200110022
41123331233300203200
53104213041421213
6113210302453012
710064012566256
oct1337557604340
9312783750408
1098746435808
1138972874839
1217179b94168
139408bb2797
144aca78a5d6
15287e16d308
hex16fdbf08e0

98746435808 has 96 divisors (see below), whose sum is σ = 213699306240. Its totient is φ = 44706816000.

The previous prime is 98746435763. The next prime is 98746435939. The reversal of 98746435808 is 80853464789.

98746435808 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×987464358082 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31476416 + ... + 31479552.

It is an arithmetic number, because the mean of its divisors is an integer number (2226034440).

Almost surely, 298746435808 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 98746435808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106849653120).

98746435808 is an abundant number, since it is smaller than the sum of its proper divisors (114952870432).

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

98746435808 is a wasteful number, since it uses less digits than its factorization.

98746435808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5440 (or 5432 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 62.

The spelling of 98746435808 in words is "ninety-eight billion, seven hundred forty-six million, four hundred thirty-five thousand, eight hundred eight".

Divisors: 1 2 4 8 16 19 23 32 38 46 76 92 152 184 304 368 437 608 736 874 1748 2251 3137 3496 4502 6274 6992 9004 12548 13984 18008 25096 36016 42769 50192 51773 59603 72032 72151 85538 100384 103546 119206 144302 171076 207092 238412 288604 342152 414184 476824 577208 684304 828368 953648 983687 1154416 1368608 1370869 1656736 1907296 1967374 2308832 2741738 3934748 5483476 7061387 7869496 10966952 14122774 15738992 21933904 28245548 31477984 43867808 56491096 112982192 134166353 162411901 225964384 268332706 324823802 536665412 649647604 1073330824 1299295208 2146661648 2598590416 3085826119 4293323296 5197180832 6171652238 12343304476 24686608952 49373217904 98746435808