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83999949269652 = 2232133114274057397
BaseRepresentation
bin10011000110010111000011…
…001000110010101010010100
3102000102022112220002100121100
4103012113003020302222110
542002223344003112102
6454353013255150100
723456540022664533
oct2306270310625224
9360368486070540
1083999949269652
11248461a65412a9
129507905075330
1337b42132a7ca0
1416a589528a31a
159aa071222a1c
hex4c65c3232a94

83999949269652 has 144 divisors (see below), whose sum is σ = 236208338376192. Its totient is φ = 24994857726720.

The previous prime is 83999949269617. The next prime is 83999949269711. The reversal of 83999949269652 is 25696294999938.

It is a happy number.

83999949269652 is a `hidden beast` number, since 8 + 3 + 9 + 9 + 9 + 9 + 492 + 69 + 6 + 52 = 666.

It is a super-2 number, since 2×839999492696522 (a number of 29 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 47 ways as a sum of consecutive naturals, for example, 18674218 + ... + 22731614.

It is an arithmetic number, because the mean of its divisors is an integer number (1640335683168).

Almost surely, 283999949269652 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 83999949269652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118104169188096).

83999949269652 is an abundant number, since it is smaller than the sum of its proper divisors (152208389106540).

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

83999949269652 is a wasteful number, since it uses less digits than its factorization.

83999949269652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4058878 (or 4058873 counting only the distinct ones).

The product of its digits is 36733201920, while the sum is 90.

The spelling of 83999949269652 in words is "eighty-three trillion, nine hundred ninety-nine billion, nine hundred forty-nine million, two hundred sixty-nine thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 117 124 156 186 234 279 372 403 468 558 806 1116 1209 1427 1612 2418 2854 3627 4281 4836 5708 7254 8562 12843 14508 17124 18551 25686 37102 44237 51372 55653 74204 88474 111306 132711 166959 176948 222612 265422 333918 398133 530844 575081 667836 796266 1150162 1592532 1725243 2300324 3450486 4057397 5175729 6900972 8114794 10351458 12172191 16229588 20702916 24344382 36516573 48688764 52746161 73033146 105492322 125779307 146066292 158238483 210984644 251558614 316476966 377337921 474715449 503117228 632953932 754675842 949430898 1132013763 1509351684 1635130991 1898861796 2264027526 3270261982 4528055052 4905392973 5789905519 6540523964 9810785946 11579811038 14716178919 17369716557 19621571892 23159622076 29432357838 34739433114 52109149671 58864715676 69478866228 75268771747 104218299342 150537543494 179487071089 208436598684 225806315241 301075086988 358974142178 451612630482 538461213267 677418945723 717948284356 903225260964 1076922426534 1354837891446 1615383639801 2153844853068 2333331924157 2709675782892 3230767279602 4666663848314 6461534559204 6999995772471 9333327696628 13999991544942 20999987317413 27999983089884 41999974634826 83999949269652