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46420318056768 = 2631791459392557
BaseRepresentation
bin10101000111000000100101…
…00100010111000101000000
320002100201221210001011022120
422203200102210113011000
522041022302410304033
6242421111050004240
712530520520066065
oct1243402244270500
9202321853034276
1046420318056768
1113877823405677
12525869a716680
131cb95567c1096
14b66a80aa6c6c
155577741e31b3
hex2a3812917140

46420318056768 has 112 divisors (see below), whose sum is σ = 123516370370880. Its totient is φ = 15385774915584.

The previous prime is 46420318056767. The next prime is 46420318056781. The reversal of 46420318056768 is 86765081302464.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46420318056767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 501485946 + ... + 501578502.

Almost surely, 246420318056768 is an apocalyptic number.

46420318056768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46420318056768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61758185185440).

46420318056768 is an abundant number, since it is smaller than the sum of its proper divisors (77096052314112).

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

46420318056768 is a wasteful number, since it uses less digits than its factorization.

46420318056768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107344 (or 107334 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 60.

The spelling of 46420318056768 in words is "forty-six trillion, four hundred twenty billion, three hundred eighteen million, fifty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 179 192 358 537 716 1074 1432 2148 2864 4296 5728 8592 11456 14593 17184 29186 34368 43779 58372 87558 92557 116744 175116 185114 233488 277671 350232 370228 466976 555342 700464 740456 933952 1110684 1400928 1480912 2221368 2612147 2801856 2961824 4442736 5224294 5923648 7836441 8885472 10448588 15672882 16567703 17770944 20897176 31345764 33135406 41794352 49703109 62691528 66270812 83588704 99406218 125383056 132541624 167177408 198812436 250766112 265083248 397624872 501532224 530166496 795249744 1060332992 1350684301 1590499488 2701368602 3180998976 4052052903 5402737204 8104105806 10805474408 16208211612 21610948816 32416423224 43221897632 64832846448 86443795264 129665692896 241772489879 259331385792 483544979758 725317469637 967089959516 1450634939274 1934179919032 2901269878548 3868359838064 5802539757096 7736719676128 11605079514192 15473439352256 23210159028384 46420318056768