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14758956990 = 23251944319483
BaseRepresentation
bin11011011111011001…
…11100111110111110
31102002120120200211200
431233230330332332
5220211243110430
610440303400330
71031512031061
oct155754747676
942076520750
1014758956990
116294056918
122a3a8b30a6
13151292155b
14a001da8d8
155b5a9e460
hex36fb3cfbe

14758956990 has 96 divisors (see below), whose sum is σ = 40486193280. Its totient is φ = 3719971008.

The previous prime is 14758956977. The next prime is 14758956991. The reversal of 14758956990 is 9965985741.

14758956990 is a `hidden beast` number, since 1 + 47 + 589 + 5 + 6 + 9 + 9 + 0 = 666.

It is a super-2 number, since 2×147589569902 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14758956991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 747789 + ... + 767271.

It is an arithmetic number, because the mean of its divisors is an integer number (421731180).

Almost surely, 214758956990 is an apocalyptic number.

14758956990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14758956990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20243096640).

14758956990 is an abundant number, since it is smaller than the sum of its proper divisors (25727236290).

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

14758956990 is a wasteful number, since it uses less digits than its factorization.

14758956990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19958 (or 19955 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 63.

The spelling of 14758956990 in words is "fourteen billion, seven hundred fifty-eight million, nine hundred fifty-six thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 443 570 855 886 1329 1710 2215 2658 3987 4430 6645 7974 8417 13290 16834 19483 19935 25251 38966 39870 42085 50502 58449 75753 84170 97415 116898 126255 151506 175347 194830 252510 292245 350694 370177 378765 584490 740354 757530 876735 1110531 1753470 1850885 2221062 3331593 3701770 5552655 6663186 8630969 11105310 16657965 17261938 25892907 33315930 43154845 51785814 77678721 86309690 129464535 155357442 163988411 258929070 327976822 388393605 491965233 776787210 819942055 983930466 1475895699 1639884110 2459826165 2951791398 4919652330 7379478495 14758956990