Search a number
-
+
630213105654 = 23211347559679
BaseRepresentation
bin10010010101110111010…
…00001101011111110110
32020020200122010211212100
421022323220031133312
540311134023340104
61201303234002530
763350161004106
oct11127350153766
92206618124770
10630213105654
112232a9961000
12a2181116446
1347576217c12
1422706b23206
15115d753e139
hex92bba0d7f6

630213105654 has 96 divisors (see below), whose sum is σ = 1533863485440. Its totient is φ = 186910064880.

The previous prime is 630213105649. The next prime is 630213105671. The reversal of 630213105654 is 456501312036.

630213105654 is a `hidden beast` number, since 63 + 0 + 2 + 1 + 31 + 0 + 565 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 846187 + ... + 1405865.

It is an arithmetic number, because the mean of its divisors is an integer number (15977744640).

Almost surely, 2630213105654 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 630213105654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766931742720).

630213105654 is an abundant number, since it is smaller than the sum of its proper divisors (903650379786).

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

630213105654 is a wasteful number, since it uses less digits than its factorization.

630213105654 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559767 (or 559742 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 630213105654 in words is "six hundred thirty billion, two hundred thirteen million, one hundred five thousand, six hundred fifty-four".

Divisors: 1 2 3 6 9 11 18 22 33 47 66 94 99 121 141 198 242 282 363 423 517 726 846 1034 1089 1331 1551 2178 2662 3102 3993 4653 5687 7986 9306 11374 11979 17061 23958 34122 51183 62557 102366 125114 187671 375342 559679 563013 1119358 1126026 1679037 3358074 5037111 6156469 10074222 12312938 18469407 26304913 36938814 52609826 55408221 67721159 78914739 110816442 135442318 157829478 203163477 236744217 289354043 406326954 473488434 578708086 609490431 744932749 868062129 1218980862 1489865498 1736124258 2234798247 2604186387 3182894473 4469596494 5208372774 6365788946 6704394741 9548683419 13408789482 19097366838 28646050257 35011839203 57292100514 70023678406 105035517609 210071035218 315106552827 630213105654