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98746397464 = 2311134310319489
BaseRepresentation
bin101101111110110111…
…1100111001100011000
3100102212210202201212011
41123331233213030120
53104213034204324
6113210301555304
710064012346421
oct1337557471430
9312783681764
1098746397464
1138972848a50
1217179b75b34
139408b9b1b0
144aca77a648
15287e161c94
hex16fdbe7318

98746397464 has 128 divisors (see below), whose sum is σ = 224749324800. Its totient is φ = 40073564160.

The previous prime is 98746397441. The next prime is 98746397509. The reversal of 98746397464 is 46479364789.

It is a self number, because there is not a number n which added to its sum of digits gives 98746397464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5057032 + ... + 5076520.

It is an arithmetic number, because the mean of its divisors is an integer number (1755854100).

Almost surely, 298746397464 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 98746397464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112374662400).

98746397464 is an abundant number, since it is smaller than the sum of its proper divisors (126002927336).

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

98746397464 is a wasteful number, since it uses less digits than its factorization.

98746397464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19665 (or 19661 counting only the distinct ones).

The product of its digits is 219469824, while the sum is 67.

The spelling of 98746397464 in words is "ninety-eight billion, seven hundred forty-six million, three hundred ninety-seven thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 13 22 26 43 44 52 86 88 103 104 143 172 206 286 344 412 473 559 572 824 946 1118 1133 1144 1339 1892 2236 2266 2678 3784 4429 4472 4532 5356 6149 8858 9064 10712 12298 14729 17716 19489 24596 29458 35432 38978 48719 49192 57577 58916 77956 97438 115154 117832 155912 194876 214379 230308 253357 389752 428758 460616 506714 633347 838027 857516 1013428 1266694 1676054 1715032 2007367 2026856 2533388 2786927 3352108 4014734 5066776 5573854 6704216 8029468 9218297 10894351 11147708 16058936 18436594 21788702 22081037 22295416 26095771 36873188 43577404 44162074 52191542 73746376 86316781 87154808 88324148 104383084 119837861 172633562 176648296 208766168 239675722 287053481 345267124 479351444 574106962 690534248 949484591 958702888 1122118153 1148213924 1898969182 2244236306 2296427848 3797938364 4488472612 7595876728 8976945224 12343299683 24686599366 49373198732 98746397464