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99850823920 = 24531791274013
BaseRepresentation
bin101110011111110010…
…0101010100011110000
3100112201202221102010201
41130333210222203300
53113443302331140
6113512033404544
710133252666551
oct1347744524360
9315652842121
1099850823920
113938a206991
1217427a09754
13955393b883
144b9330c328
1528e60be49a
hex173f92a8f0

99850823920 has 160 divisors (see below), whose sum is σ = 244647198720. Its totient is φ = 37852738560.

The previous prime is 99850823903. The next prime is 99850823923. The reversal of 99850823920 is 2932805899.

99850823920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99850823923) 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, 24879834 + ... + 24883846.

It is an arithmetic number, because the mean of its divisors is an integer number (1529044992).

Almost surely, 299850823920 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 99850823920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122323599360).

99850823920 is an abundant number, since it is smaller than the sum of its proper divisors (144796374800).

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

99850823920 is a wasteful number, since it uses less digits than its factorization.

99850823920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4263 (or 4257 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 55.

The spelling of 99850823920 in words is "ninety-nine billion, eight hundred fifty million, eight hundred twenty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 79 80 124 127 155 158 248 254 310 316 395 496 508 620 632 635 790 1016 1240 1264 1270 1580 2032 2449 2480 2540 3160 3937 4013 4898 5080 6320 7874 8026 9796 10033 10160 12245 15748 16052 19592 19685 20065 20066 24490 31496 32104 39184 39370 40130 40132 48980 50165 62992 64208 78740 80260 80264 97960 100330 124403 157480 160520 160528 195920 200660 248806 311023 314960 317027 321040 401320 497612 509651 622015 622046 634054 802640 995224 1019302 1244030 1244092 1268108 1555115 1585135 1990448 2038604 2488060 2488184 2536216 2548255 3110230 3170270 4077208 4976120 4976368 5072432 5096510 6220460 6340540 8154416 9827837 9952240 10193020 12440920 12681080 15799181 19655674 20386040 24881840 25362160 31598362 39311348 40262429 40772080 49139185 63196724 78622696 78995905 80524858 98278370 126393448 157245392 157991810 161049716 196556740 201312145 252786896 315983620 322099432 393113480 402624290 631967240 644198864 786226960 805248580 1248135299 1263934480 1610497160 2496270598 3220994320 4992541196 6240676495 9985082392 12481352990 19970164784 24962705980 49925411960 99850823920