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19042697200 = 2452793171901
BaseRepresentation
bin10001101111000010…
…000111111111110000
31211011010012020200111
4101233002013333300
5302444412302300
612425331031104
71242616153432
oct215702077760
954133166614
1019042697200
11809211928a
12383543b494
131a46269b87
14cc90d0652
15766bc09ba
hex46f087ff0

19042697200 has 120 divisors (see below), whose sum is σ = 46499791680. Its totient is φ = 7492992000.

The previous prime is 19042697183. The next prime is 19042697227. The reversal of 19042697200 is 279624091.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 10016250 + ... + 10018150.

It is an arithmetic number, because the mean of its divisors is an integer number (387498264).

Almost surely, 219042697200 is an apocalyptic number.

19042697200 is a gapful number since it is divisible by the number (10) 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 19042697200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23249895840).

19042697200 is an abundant number, since it is smaller than the sum of its proper divisors (27457094480).

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

19042697200 is a wasteful number, since it uses less digits than its factorization.

19042697200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2315 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The spelling of 19042697200 in words is "nineteen billion, forty-two million, six hundred ninety-seven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 79 80 100 158 200 316 317 395 400 632 634 790 1264 1268 1580 1585 1901 1975 2536 3160 3170 3802 3950 5072 6320 6340 7604 7900 7925 9505 12680 15208 15800 15850 19010 25043 25360 30416 31600 31700 38020 47525 50086 63400 76040 95050 100172 125215 126800 150179 152080 190100 200344 250430 300358 380200 400688 500860 600716 602617 626075 750895 760400 1001720 1201432 1205234 1252150 1501790 2003440 2402864 2410468 2504300 3003580 3013085 3754475 4820936 5008600 6007160 6026170 7508950 9641872 10017200 12014320 12052340 15017900 15065425 24104680 30035800 30130850 47606743 48209360 60071600 60261700 95213486 120523400 190426972 238033715 241046800 380853944 476067430 761707888 952134860 1190168575 1904269720 2380337150 3808539440 4760674300 9521348600 19042697200