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47764411136 = 281331653709
BaseRepresentation
bin101100011110111110…
…110001001100000000
311120021210011111020022
4230132332301030000
51240310142124021
633535341033012
73310434536651
oct543676611400
9146253144208
1047764411136
1119290846052
129310255768
13467285a590
14245186b528
1513984981ab
hexb1efb1300

47764411136 has 144 divisors (see below), whose sum is σ = 106300427520. Its totient is φ = 21271265280.

The previous prime is 47764411129. The next prime is 47764411171. The reversal of 47764411136 is 63111446774.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67368350 + ... + 67369058.

Almost surely, 247764411136 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 47764411136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53150213760).

47764411136 is an abundant number, since it is smaller than the sum of its proper divisors (58536016384).

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

47764411136 is a wasteful number, since it uses less digits than its factorization.

47764411136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 1408 counting only the distinct ones).

The product of its digits is 338688, while the sum is 44.

The spelling of 47764411136 in words is "forty-seven billion, seven hundred sixty-four million, four hundred eleven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 248 256 403 416 496 653 709 806 832 992 1306 1418 1612 1664 1984 2612 2836 3224 3328 3968 5224 5672 6448 7936 8489 9217 10448 11344 12896 16978 18434 20243 20896 21979 22688 25792 33956 36868 40486 41792 43958 45376 51584 67912 73736 80972 83584 87916 90752 103168 135824 147472 161944 167168 175832 181504 263159 271648 285727 294944 323888 351664 462977 526318 543296 571454 589888 647776 703328 925954 1052636 1086592 1142908 1179776 1295552 1406656 1851908 2105272 2173184 2285816 2359552 2591104 2813312 3703816 4210544 4571632 5182208 5626624 6018701 7407632 8421088 9143264 12037402 14352287 14815264 16842176 18286528 24074804 28704574 29630528 33684352 36573056 48149608 57409148 59261056 67368704 73146112 96299216 114818296 118522112 186579731 192598432 229636592 373159462 385196864 459273184 746318924 770393728 918546368 1492637848 1540787456 1837092736 2985275696 3674185472 5970551392 11941102784 23882205568 47764411136