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734412053648 = 247133181120063
BaseRepresentation
bin10101010111111100101…
…11101001110010010000
32121012122102211211220102
422223332113221302100
544013033441204043
61321214555031532
7104026262312360
oct12537627516220
92535572754812
10734412053648
1126350a504959
12ba40113b5a8
1354340925570
142778d6c49a0
15141851eb6b8
hexaafe5e9c90

734412053648 has 160 divisors (see below), whose sum is σ = 1810102812672. Its totient is φ = 280803801600.

The previous prime is 734412053647. The next prime is 734412053701. The reversal of 734412053648 is 846350214437.

It is a super-2 number, since 2×7344120536482 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (734412053647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36595265 + ... + 36615327.

Almost surely, 2734412053648 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 734412053648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905051406336).

734412053648 is an abundant number, since it is smaller than the sum of its proper divisors (1075690759024).

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

734412053648 is a wasteful number, since it uses less digits than its factorization.

734412053648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20933 (or 20927 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 47.

The spelling of 734412053648 in words is "seven hundred thirty-four billion, four hundred twelve million, fifty-three thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 52 56 62 91 104 112 124 182 208 217 248 364 403 434 496 728 806 811 868 1456 1612 1622 1736 2821 3224 3244 3472 5642 5677 6448 6488 10543 11284 11354 12976 20063 21086 22568 22708 25141 40126 42172 45136 45416 50282 73801 80252 84344 90832 100564 140441 147602 160504 168688 175987 201128 260819 280882 295204 321008 326833 351974 402256 521638 561764 590408 621953 653666 703948 1043276 1123528 1180816 1243906 1307332 1407896 1825733 2086552 2247056 2287831 2487812 2614664 2815792 3651466 4173104 4353671 4575662 4975624 5229328 7302932 8085389 8707342 9151324 9951248 14605864 16170778 16271093 17414684 18302648 29211728 32341556 32542186 34829368 36605296 56597723 64683112 65084372 69658736 113195446 113897651 129366224 130168744 211524209 226390892 227795302 260337488 423048418 452781784 455590604 504403883 846096836 905563568 911181208 1008807766 1480669463 1692193672 1822362416 2017615532 2961338926 3384387344 3530827181 4035231064 5922677852 6557250479 7061654362 8070462128 11845355704 13114500958 14123308724 23690711408 26229001916 28246617448 45900753353 52458003832 56493234896 91801506706 104916007664 183603013412 367206026824 734412053648