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98289753432 = 233133894311879
BaseRepresentation
bin101101110001010000…
…1101001110101011000
3100101200222111211000020
41123202201221311120
53102244134102212
6113053110310440
710046466055623
oct1334241516530
9311628454006
1098289753432
1138759004592
1217071058420
1393653b6320
144a85c6cdba
15285400ed8c
hex16e2869d58

98289753432 has 128 divisors (see below), whose sum is σ = 266063616000. Its totient is φ = 30079249920.

The previous prime is 98289753409. The next prime is 98289753439. The reversal of 98289753432 is 23435798289.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98289753439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52308669 + ... + 52310547.

It is an arithmetic number, because the mean of its divisors is an integer number (2078622000).

Almost surely, 298289753432 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 98289753432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133031808000).

98289753432 is an abundant number, since it is smaller than the sum of its proper divisors (167773862568).

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

98289753432 is a wasteful number, since it uses less digits than its factorization.

98289753432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2721 (or 2717 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 60.

The spelling of 98289753432 in words is "ninety-eight billion, two hundred eighty-nine million, seven hundred fifty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 389 431 778 862 1167 1293 1556 1724 1879 2334 2586 3112 3448 3758 4668 5057 5172 5603 5637 7516 9336 10114 10344 11206 11274 15032 15171 16809 20228 22412 22548 24427 30342 33618 40456 44824 45096 48854 60684 67236 73281 97708 121368 134472 146562 167659 195416 293124 335318 502977 586248 670636 730931 809849 1005954 1341272 1461862 1619698 2011908 2179567 2192793 2429547 2923724 3239396 4023816 4359134 4385586 4859094 5847448 6478792 6538701 8718268 8771172 9502103 9718188 10528037 13077402 17436536 17542344 19004206 19436376 21056074 26154804 28506309 31584111 38008412 42112148 52309608 57012618 63168222 76016824 84224296 114025236 126336444 228050472 252672888 315031261 630062522 945093783 1260125044 1890187566 2520250088 3780375132 4095406393 7560750264 8190812786 12286219179 16381625572 24572438358 32763251144 49144876716 98289753432