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872098006932 = 22323110169111197
BaseRepresentation
bin11001011000011010001…
…01111000011110010100
310002101001000020222022200
430230031011320132110
5103242024042210212
61504345234524500
7120002254514655
oct14541505703624
93071030228280
10872098006932
11306944653499
12121027a36730
1364313c64939
14302d186952c
1517a42bc46dc
hexcb0d178794

872098006932 has 144 divisors (see below), whose sum is σ = 2301643728384. Its totient is φ = 278108640000.

The previous prime is 872098006931. The next prime is 872098006987. The reversal of 872098006932 is 239600890278.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872098006931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77881158 + ... + 77892354.

Almost surely, 2872098006932 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 872098006932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150821864192).

872098006932 is an abundant number, since it is smaller than the sum of its proper divisors (1429545721452).

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

872098006932 is a wasteful number, since it uses less digits than its factorization.

872098006932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12030 (or 12025 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 872098006932 in words is "eight hundred seventy-two billion, ninety-eight million, six thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 101 124 186 202 279 303 372 404 558 606 691 909 1116 1212 1382 1818 2073 2764 3131 3636 4146 6219 6262 8292 9393 11197 12438 12524 18786 21421 22394 24876 28179 33591 37572 42842 44788 56358 64263 67182 69791 85684 100773 112716 128526 134364 139582 192789 201546 209373 257052 279164 347107 385578 403092 418746 628119 694214 771156 837492 1041321 1130897 1256238 1388428 2082642 2163521 2261794 2512476 3123963 3392691 4165284 4327042 4523588 6247926 6490563 6785382 7737127 8654084 10178073 12495852 12981126 13570764 15474254 19471689 20356146 23211381 25962252 30948508 35057807 38943378 40712292 46422762 69634143 70115614 77886756 92845524 105173421 139268286 140231228 210346842 239850937 278536572 315520263 420693684 479701874 631040526 719552811 781449827 959403748 1262081052 1439105622 1562899654 2158658433 2344349481 2878211244 3125799308 4317316866 4688698962 7033048443 8634633732 9377397924 14066096886 24224944637 28132193772 48449889274 72674833911 96899778548 145349667822 218024501733 290699335644 436049003466 872098006932