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53968900842192 = 24373151791000453
BaseRepresentation
bin11000100010101100111010…
…01010011110001011010000
321002002101011111022001122110
430101112131022132023100
524033211302103422232
6310440545404305320
714240060450100540
oct1421263512361320
9232071144261573
1053968900842192
111621809a617146
12607764b842240
13241632650c08b
14d4817453d320
15638cc5774acc
hex31159d29e2d0

53968900842192 has 160 divisors (see below), whose sum is σ = 164508572999680. Its totient is φ = 14919380513280.

The previous prime is 53968900842107. The next prime is 53968900842211. The reversal of 53968900842192 is 29124800986935.

It is a super-2 number, since 2×539689008421922 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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, 53444238 + ... + 54444690.

It is an arithmetic number, because the mean of its divisors is an integer number (1028178581248).

Almost surely, 253968900842192 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 53968900842192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82254286499840).

53968900842192 is an abundant number, since it is smaller than the sum of its proper divisors (110539672157488).

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

53968900842192 is a wasteful number, since it uses less digits than its factorization.

53968900842192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005681 (or 1005675 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 66.

The spelling of 53968900842192 in words is "fifty-three trillion, nine hundred sixty-eight billion, nine hundred million, eight hundred forty-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 651 744 868 1302 1488 1736 2604 3472 5179 5208 10358 10416 15537 20716 31074 36253 41432 62148 72506 82864 108759 124296 145012 160549 217518 248592 290024 321098 435036 481647 580048 642196 870072 963294 1000453 1123843 1284392 1740144 1926588 2000906 2247686 2568784 3001359 3371529 3853176 4001812 4495372 6002718 6743058 7003171 7706352 8003624 8990744 12005436 13486116 14006342 16007248 17981488 21009513 24010872 26972232 28012684 31014043 42019026 48021744 53944464 56025368 62028086 84038052 93042129 112050736 124056172 168076104 186084258 217098301 248112344 336152208 372168516 434196602 496224688 651294903 744337032 868393204 1302589806 1488674064 1736786408 2605179612 3473572816 5181346087 5210359224 10362692174 10420718448 15544038261 20725384348 31088076522 36269422609 41450768696 62176153044 72538845218 82901537392 108808267827 124352306088 145077690436 160621728697 217616535654 248704612176 290155380872 321243457394 435233071308 481865186091 580310761744 642486914788 870466142616 963730372182 1124352100879 1284973829576 1740932285232 1927460744364 2248704201758 2569947659152 3373056302637 3854921488728 4497408403516 6746112605274 7709842977456 8994816807032 13492225210548 17989633614064 26984450421096 53968900842192