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630249705216 = 2832535161243
BaseRepresentation
bin10010010101111011100…
…11110100111100000000
32020020210012000022000200
421022331303310330000
540311222411031331
61201311022245200
763351114050265
oct11127563647400
92206705008020
10630249705216
1122331858987a
12a2191426800
1347580990a71
142270b92d26c
15115da86d5e6
hex92bdcf4f00

630249705216 has 108 divisors (see below), whose sum is σ = 1851451770168. Its totient is φ = 206119360512.

The previous prime is 630249705209. The next prime is 630249705257. The reversal of 630249705216 is 612507942036.

630249705216 is a `hidden beast` number, since 6 + 30 + 2 + 4 + 97 + 0 + 521 + 6 = 666.

630249705216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×6302497052163 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2458510 + ... + 2702733.

It is an arithmetic number, because the mean of its divisors is an integer number (17143071946).

Almost surely, 2630249705216 is an apocalyptic number.

It is an amenable number.

630249705216 is an abundant number, since it is smaller than the sum of its proper divisors (1221202064952).

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

630249705216 is a wasteful number, since it uses less digits than its factorization.

630249705216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5161318 (or 5161301 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 630249705216 in words is "six hundred thirty billion, two hundred forty-nine million, seven hundred five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 128 144 159 192 212 256 288 318 384 424 477 576 636 768 848 954 1152 1272 1696 1908 2304 2544 3392 3816 5088 6784 7632 10176 13568 15264 20352 30528 40704 61056 122112 5161243 10322486 15483729 20644972 30967458 41289944 46451187 61934916 82579888 92902374 123869832 165159776 185804748 247739664 273545879 330319552 371609496 495479328 547091758 660639104 743218992 820637637 990958656 1094183516 1321278208 1486437984 1641275274 1981917312 2188367032 2461912911 2972875968 3282550548 3963834624 4376734064 4923825822 5945751936 6565101096 8753468128 9847651644 11891503872 13130202192 17506936256 19695303288 26260404384 35013872512 39390606576 52520808768 70027745024 78781213152 105041617536 157562426304 210083235072 315124852608 630249705216