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39993098160 = 2435615694801
BaseRepresentation
bin100101001111110001…
…100011111110110000
310211020012001212221210
4211033301203332300
51123401213120120
630212250520120
72614031503551
oct451761437660
9124205055853
1039993098160
1115a63074644
127901736040
133a04806c32
141d156d2328
1510910c1ce0
hex94fc63fb0

39993098160 has 160 divisors (see below), whose sum is σ = 126258793920. Its totient is φ = 10469376000.

The previous prime is 39993098153. The next prime is 39993098207. The reversal of 39993098160 is 6189039993.

It is a self number, because there is not a number n which added to its sum of digits gives 39993098160.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8327760 + ... + 8332560.

It is an arithmetic number, because the mean of its divisors is an integer number (789117462).

Almost surely, 239993098160 is an apocalyptic number.

39993098160 is a gapful number since it is divisible by the number (30) 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 39993098160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63129396960).

39993098160 is an abundant number, since it is smaller than the sum of its proper divisors (86265695760).

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

39993098160 is a wasteful number, since it uses less digits than its factorization.

39993098160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5447 (or 5441 counting only the distinct ones).

The product of its (nonzero) digits is 2834352, while the sum is 57.

The spelling of 39993098160 in words is "thirty-nine billion, nine hundred ninety-three million, ninety-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 120 122 183 240 244 305 366 488 569 610 732 915 976 1138 1220 1464 1707 1830 2276 2440 2845 2928 3414 3660 4552 4801 4880 5690 6828 7320 8535 9104 9602 11380 13656 14403 14640 17070 19204 22760 24005 27312 28806 34140 34709 38408 45520 48010 57612 68280 69418 72015 76816 96020 104127 115224 136560 138836 144030 173545 192040 208254 230448 277672 288060 292861 347090 384080 416508 520635 555344 576120 585722 694180 833016 878583 1041270 1152240 1171444 1388360 1464305 1666032 1757166 2082540 2342888 2731769 2776720 2928610 3514332 4165080 4392915 4685776 5463538 5857220 7028664 8195307 8330160 8785830 10927076 11714440 13658845 14057328 16390614 17571660 21854152 23428880 27317690 32781228 35143320 40976535 43708304 54635380 65562456 70286640 81953070 109270760 131124912 163906140 166637909 218541520 327812280 333275818 499913727 655624560 666551636 833189545 999827454 1333103272 1666379090 1999654908 2499568635 2666206544 3332758180 3999309816 4999137270 6665516360 7998619632 9998274540 13331032720 19996549080 39993098160