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4900560016 = 24112372432
BaseRepresentation
bin1001001000001100…
…01001110010010000
3110122112021020112211
410210012021302100
540014020410031
62130140001504
7232304033662
oct44406116220
913575236484
104900560016
112095269300
12b49230294
13601382c71
14346bb8532
151da362bb1
hex124189c90

4900560016 has 135 divisors (see below), whose sum is σ = 10981408473. Its totient is φ = 2116920960.

The previous prime is 4900560013. The next prime is 4900560023. The reversal of 4900560016 is 6100650094.

The square root of 4900560016 is 70004.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4385088400 + 515471616 = 66220^2 + 22704^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4900560016.

It is not an unprimeable number, because it can be changed into a prime (4900560013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 113966491 + ... + 113966533.

Almost surely, 24900560016 is an apocalyptic number.

4900560016 is the 70004-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4900560016

4900560016 is an abundant number, since it is smaller than the sum of its proper divisors (6080848457).

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

4900560016 is a wasteful number, since it uses less digits than its factorization.

4900560016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The cubic root of 4900560016 is about 1698.5639563590.

The spelling of 4900560016 in words is "four billion, nine hundred million, five hundred sixty thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 37 43 44 74 86 88 121 148 172 176 242 296 344 407 473 484 592 688 814 946 968 1369 1591 1628 1849 1892 1936 2738 3182 3256 3698 3784 4477 5203 5476 6364 6512 7396 7568 8954 10406 10952 12728 14792 15059 17501 17908 20339 20812 21904 25456 29584 30118 35002 35816 40678 41624 58867 60236 68413 70004 71632 81356 83248 117734 120472 136826 140008 162712 165649 192511 223729 235468 240944 273652 280016 325424 331298 385022 447458 470936 547304 647537 662596 752543 770044 894916 941872 1094608 1295074 1325192 1505086 1540088 1789832 2531281 2590148 2650384 3010172 3080176 3579664 5062562 5180296 6020344 7122907 8277973 10125124 10360592 12040688 14245814 16555946 20250248 27844091 28491628 33111892 40500496 55688182 56983256 66223784 111376364 113966512 132447568 222752728 306285001 445505456 612570002 1225140004 2450280008 4900560016