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5188038747760 = 2451123325799811
BaseRepresentation
bin100101101111110111100…
…1101001110011001110000
3200100222020100012020111101
41023133233031032121300
51140000100404412020
615011204015254144
71043552302513501
oct113375715163160
920328210166441
105188038747760
111720264691930
126b958781a354
132b82cb29749b
1413d161054ba8
158ee45a2b00a
hex4b7ef34e670

5188038747760 has 160 divisors (see below), whose sum is σ = 13221699828480. Its totient is φ = 1877542963200.

The previous prime is 5188038747701. The next prime is 5188038747781. The reversal of 5188038747760 is 677478308815.

It is a junction number, because it is equal to n+sod(n) for n = 5188038747692 and 5188038747701.

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, 528793255 + ... + 528803065.

It is an arithmetic number, because the mean of its divisors is an integer number (82635623928).

Almost surely, 25188038747760 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 5188038747760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6610849914240).

5188038747760 is an abundant number, since it is smaller than the sum of its proper divisors (8033661080720).

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

5188038747760 is a wasteful number, since it uses less digits than its factorization.

5188038747760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12647 (or 12641 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 64.

The spelling of 5188038747760 in words is "five trillion, one hundred eighty-eight billion, thirty-eight million, seven hundred forty-seven thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 233 440 466 880 932 1165 1864 2330 2563 2579 3728 4660 5126 5158 9320 9811 10252 10316 12815 12895 18640 19622 20504 20632 25630 25790 28369 39244 41008 41264 49055 51260 51580 56738 78488 98110 102520 103160 107921 113476 141845 156976 196220 205040 206320 215842 226952 283690 392440 431684 453904 539605 567380 600907 784880 863368 1079210 1134760 1201814 1726736 2158420 2269520 2285963 2403628 3004535 4316840 4571926 4807256 6009070 6609977 8633680 9143852 9614512 11429815 12018140 13219954 18287704 22859630 24036280 25145593 25302569 26439908 33049885 36575408 45719260 48072560 50291186 50605138 52879816 66099770 91438520 100582372 101210276 105759632 125727965 126512845 132199540 182877040 201164744 202420552 251455930 253025690 264399080 278328259 402329488 404841104 502911860 506051380 528798160 556656518 1005823720 1012102760 1113313036 1391641295 2011647440 2024205520 2226626072 2783282590 4453252144 5566565180 5895498577 11133130360 11790997154 22266260720 23581994308 29477492885 47163988616 58954985770 64850484347 94327977232 117909971540 129700968694 235819943080 259401937388 324252421735 471639886160 518803874776 648504843470 1037607749552 1297009686940 2594019373880 5188038747760