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999986000048 = 247223255121739
BaseRepresentation
bin11101000110100111100…
…11110111000010110000
310112121010202002011011022
432203103303313002300
5112340432404000143
62043215350235012
7132150404516600
oct16432363670260
93477122064138
10999986000048
11356101033592
12141979355a68
13733b5406449
1436584640c00
151b02a3ed268
hexe8d3cf70b0

999986000048 has 120 divisors (see below), whose sum is σ = 2352816195840. Its totient is φ = 409752604800.

The previous prime is 999986000047. The next prime is 999986000053. The reversal of 999986000048 is 840000689999.

It is a Cunningham number, because it is equal to 9999932-1.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (999986000047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45988763 + ... + 46010501.

It is an arithmetic number, because the mean of its divisors is an integer number (19606801632).

Almost surely, 2999986000048 is an apocalyptic number.

999986000048 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 999986000048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176408097920).

999986000048 is an abundant number, since it is smaller than the sum of its proper divisors (1352830195792).

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

999986000048 is a wasteful number, since it uses less digits than its factorization.

999986000048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24335 (or 24322 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 62.

The spelling of 999986000048 in words is "nine hundred ninety-nine billion, nine hundred eighty-six million, forty-eight", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 23 28 46 49 56 92 98 112 161 184 196 322 368 392 644 784 1127 1288 2254 2551 2576 4508 5102 9016 10204 17857 18032 20408 21739 35714 40816 43478 58673 71428 86956 117346 124999 142856 152173 173912 234692 249998 285712 304346 347824 410711 469384 499996 499997 608692 821422 938768 999992 999994 1065211 1217384 1642844 1999984 1999988 2130422 2434768 2874977 3285688 3499979 3999976 4260844 5749954 6571376 6999958 7999952 8521688 11499908 13999916 17043376 22999816 24499853 27999832 45999632 48999706 55456189 55999664 97999412 110912378 195998824 221824756 388193323 391997648 443649512 776386646 887299024 1275492347 1552773292 2550984694 2717353261 3105546584 5101969388 5434706522 6211093168 8928446429 10203938776 10869413044 17856892858 20407877552 21738826088 35713785716 43477652176 62499125003 71427571432 124998250006 142855142864 249996500012 499993000024 999986000048