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2018098956792 = 23319231791074971
BaseRepresentation
bin11101010111100000000…
…100100100100111111000
321010221001210020010012010
4131113200010210213320
5231031031313104132
64143034000245520
7265542242045652
oct35274004444770
97127053203163
102018098956792
11708964281a16
122871553108a0
131183c9131669
146d9684b96d2
1537766dd16cc
hex1d5e01249f8

2018098956792 has 128 divisors (see below), whose sum is σ = 5572654848000. Its totient is φ = 606179882880.

The previous prime is 2018098956791. The next prime is 2018098956803. The reversal of 2018098956792 is 2976598908102.

It is a happy number.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2018098956791) 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 31 ways as a sum of consecutive naturals, for example, 1339867 + ... + 2414837.

It is an arithmetic number, because the mean of its divisors is an integer number (43536366000).

Almost surely, 22018098956792 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 2018098956792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2786327424000).

2018098956792 is an abundant number, since it is smaller than the sum of its proper divisors (3554555891208).

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

2018098956792 is a wasteful number, since it uses less digits than its factorization.

2018098956792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075201 (or 1075197 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 66.

The spelling of 2018098956792 in words is "two trillion, eighteen billion, ninety-eight million, nine hundred fifty-six thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 19 23 24 38 46 57 69 76 92 114 138 152 179 184 228 276 358 437 456 537 552 716 874 1074 1311 1432 1748 2148 2622 3401 3496 4117 4296 5244 6802 8234 10203 10488 12351 13604 16468 20406 24702 27208 32936 40812 49404 78223 81624 98808 156446 234669 312892 469338 625784 938676 1074971 1877352 2149942 3224913 4299884 6449826 8599768 12899652 20424449 24724333 25799304 40848898 49448666 61273347 74172999 81697796 98897332 122546694 148345998 163395592 192419809 197794664 245093388 296691996 384839618 469762327 490186776 577259427 593383992 769679236 939524654 1154518854 1409286981 1539358472 1879049308 2309037708 2818573962 3655976371 3758098616 4425655607 4618075416 5637147924 7311952742 8851311214 10967929113 11274295848 13276966821 14623905484 17702622428 21935858226 26553933642 29247810968 35405244856 43871716452 53107867284 84087456533 87743432904 106215734568 168174913066 252262369599 336349826132 504524739198 672699652264 1009049478396 2018098956792