Search a number
-
+
98198095988736 = 2113210749790539
BaseRepresentation
bin10110010100111110000110…
…101000010000100000000000
3110212200122110011000120101100
4112110332012220100200000
5100332334200033114421
6544503325454134400
726453402234564022
oct2624760650204000
9425618404016340
1098198095988736
112931a640191767
12b01b5477b1400
1342a406b5c4473
141a36b55614012
15b54557a14c26
hex594f86a10800

98198095988736 has 144 divisors (see below), whose sum is σ = 286264734865200. Its totient is φ = 32426784940032.

The previous prime is 98198095988689. The next prime is 98198095988749. The reversal of 98198095988736 is 63788959089189.

It is a happy number.

98198095988736 is a `hidden beast` number, since 9 + 8 + 1 + 9 + 8 + 0 + 9 + 598 + 8 + 7 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22923046 + ... + 26867493.

It is an arithmetic number, because the mean of its divisors is an integer number (1987949547675).

Almost surely, 298198095988736 is an apocalyptic number.

98198095988736 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

98198095988736 is an abundant number, since it is smaller than the sum of its proper divisors (188066638876464).

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

98198095988736 is a wasteful number, since it uses less digits than its factorization.

98198095988736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49790674 (or 49790651 counting only the distinct ones).

The product of its (nonzero) digits is 16930529280, while the sum is 90.

The spelling of 98198095988736 in words is "ninety-eight trillion, one hundred ninety-eight billion, ninety-five million, nine hundred eighty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 107 128 144 192 214 256 288 321 384 428 512 576 642 768 856 963 1024 1152 1284 1536 1712 1926 2048 2304 2568 3072 3424 3852 4608 5136 6144 6848 7704 9216 10272 13696 15408 18432 20544 27392 30816 41088 54784 61632 82176 109568 123264 164352 219136 246528 328704 493056 657408 986112 1972224 49790539 99581078 149371617 199162156 298743234 398324312 448114851 597486468 796648624 896229702 1194972936 1593297248 1792459404 2389945872 3186594496 3584918808 4779891744 5327587673 6373188992 7169837616 9559783488 10655175346 12746377984 14339675232 15982763019 19119566976 21310350692 25492755968 28679350464 31965526038 38239133952 42620701384 47948289057 50985511936 57358700928 63931052076 76478267904 85241402768 95896578114 101971023872 114717401856 127862104152 152956535808 170482805536 191793156228 229434803712 255724208304 305913071616 340965611072 383586312456 458869607424 511448416608 681931222144 767172624912 917739214848 1022896833216 1363862444288 1534345249824 2045793666432 2727724888576 3068690499648 4091587332864 5455449777152 6137380999296 8183174665728 10910899554304 12274761998592 16366349331456 24549523997184 32732698662912 49099047994368 98198095988736