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68955348816 = 2433417154833
BaseRepresentation
bin100000000111000001…
…1110001111101010000
320120222121122122212000
41000032003301331100
52112210032130231
651402212234000
74660530536244
oct1001603617520
9216877578760
1068955348816
1127275551192
121144500b900
13666bba5863
1434a1da4424
151bd8a5e6e6
hex100e0f1f50

68955348816 has 160 divisors (see below), whose sum is σ = 205614339840. Its totient is φ = 22108262400.

The previous prime is 68955348769. The next prime is 68955348823. The reversal of 68955348816 is 61884355986.

68955348816 is a `hidden beast` number, since 6 + 8 + 9 + 5 + 534 + 88 + 16 = 666.

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, 1230136 + ... + 1284968.

It is an arithmetic number, because the mean of its divisors is an integer number (1285089624).

Almost surely, 268955348816 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 68955348816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102807169920).

68955348816 is an abundant number, since it is smaller than the sum of its proper divisors (136658991024).

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

68955348816 is a wasteful number, since it uses less digits than its factorization.

68955348816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54962 (or 54950 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 63.

The spelling of 68955348816 in words is "sixty-eight billion, nine hundred fifty-five million, three hundred forty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 71 72 82 108 123 142 144 164 213 216 246 284 328 369 426 432 492 568 639 656 738 852 984 1107 1136 1278 1476 1704 1917 1968 2214 2556 2911 2952 3408 3834 4428 5112 5822 5904 7668 8733 8856 10224 11644 15336 17466 17712 23288 26199 30672 34932 46576 52398 54833 69864 78597 104796 109666 139728 157194 164499 209592 219332 314388 328998 419184 438664 493497 628776 657996 877328 986994 1257552 1315992 1480491 1973988 2248153 2631984 2960982 3893143 3947976 4496306 5921964 6744459 7786286 7895952 8992612 11679429 11843928 13488918 15572572 17985224 20233377 23358858 23687856 26977836 31145144 35038287 35970448 40466754 46717716 53955672 60700131 62290288 70076574 80933508 93435432 105114861 107911344 121400262 140153148 159618863 161867016 186870864 210229722 242800524 280306296 319237726 323734032 420459444 478856589 485601048 560612592 638475452 840918888 957713178 971202096 1276950904 1436569767 1681837776 1915426356 2553901808 2873139534 3830852712 4309709301 5746279068 7661705424 8619418602 11492558136 17238837204 22985116272 34477674408 68955348816