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649753117328 = 247234161100853
BaseRepresentation
bin10010111010010000100…
…11011100001010010000
32022010010102010021202102
421131020103130022100
541121143244223303
61214254212135532
764641326241140
oct11351023341220
92263112107672
10649753117328
11230616771a87
12a5b150075a8
134936b5096c3
142363bcaa920
1511d7cbe7288
hex97484dc290

649753117328 has 160 divisors (see below), whose sum is σ = 1563136952832. Its totient is φ = 255599308800.

The previous prime is 649753117297. The next prime is 649753117381. The reversal of 649753117328 is 823711357946.

It is a super-2 number, since 2×6497531173282 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6392150 + ... + 6493002.

Almost surely, 2649753117328 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 649753117328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781568476416).

649753117328 is an abundant number, since it is smaller than the sum of its proper divisors (913383835504).

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

649753117328 is a wasteful number, since it uses less digits than its factorization.

649753117328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100993 (or 100987 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 56.

The spelling of 649753117328 in words is "six hundred forty-nine billion, seven hundred fifty-three million, one hundred seventeen thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 41 46 56 61 82 92 112 122 161 164 184 244 287 322 328 368 427 488 574 644 656 854 943 976 1148 1288 1403 1708 1886 2296 2501 2576 2806 3416 3772 4592 5002 5612 6601 6832 7544 9821 10004 11224 13202 15088 17507 19642 20008 22448 26404 35014 39284 40016 52808 57523 70028 78568 100853 105616 115046 140056 157136 201706 230092 280112 402661 403412 460184 705971 805322 806824 920368 1411942 1610644 1613648 2319619 2823884 3221288 4134973 4639238 5647768 6152033 6442576 8269946 9278476 11295536 12304066 16237333 16539892 18556952 24608132 28944811 32474666 33079784 37113904 43064231 49216264 57889622 64949332 66159568 86128462 95104379 98432528 115779244 129898664 141496759 172256924 190208758 231558488 252233353 259797328 282993518 344513848 380417516 463116976 504466706 565987036 665730653 689027696 760835032 990477313 1008933412 1131974072 1331461306 1521670064 1765633471 1980954626 2017866824 2263948144 2662922612 3531266942 3961909252 4035733648 5325845224 5801367119 7062533884 7923818504 10651690448 11602734238 14125067768 15847637008 23205468476 28250135536 40609569833 46410936952 81219139666 92821873904 162438279332 324876558664 649753117328