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38413685916 = 2235611374729
BaseRepresentation
bin100011110001101000…
…100101010010011100
310200011010010102200000
4203301220211102130
51112132400422131
625351430334300
72526632641254
oct436150452234
9120133112600
1038413685916
1115322584871
1275407ba390
13381252bc88
141c05a3a964
15eec5dcce6
hex8f1a2549c

38413685916 has 144 divisors (see below), whose sum is σ = 103117254240. Its totient is φ = 12500075520.

The previous prime is 38413685909. The next prime is 38413685923. The reversal of 38413685916 is 61958631483.

38413685916 is a `hidden beast` number, since 3 + 8 + 41 + 3 + 6 + 8 + 591 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (38413685909) and next prime (38413685923).

It is a super-2 number, since 2×384136859162 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8120640 + ... + 8125368.

Almost surely, 238413685916 is an apocalyptic number.

38413685916 is a gapful number since it is divisible by the number (36) 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 38413685916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51558627120).

38413685916 is an abundant number, since it is smaller than the sum of its proper divisors (64703568324).

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

38413685916 is a wasteful number, since it uses less digits than its factorization.

38413685916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4946 (or 4932 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 38413685916 in words is "thirty-eight billion, four hundred thirteen million, six hundred eighty-five thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 81 108 122 137 162 183 243 244 274 324 366 411 486 548 549 732 822 972 1098 1233 1644 1647 2196 2466 3294 3699 4729 4932 4941 6588 7398 8357 9458 9882 11097 14187 14796 14823 16714 18916 19764 22194 25071 28374 29646 33291 33428 42561 44388 50142 56748 59292 66582 75213 85122 100284 127683 133164 150426 170244 225639 255366 288469 300852 383049 451278 510732 576938 647873 676917 766098 865407 902556 1149147 1153876 1295746 1353834 1532196 1730814 1943619 2030751 2298294 2591492 2596221 2707668 3461628 3887238 4061502 4596588 5192442 5830857 7774476 7788663 8123004 10384884 11661714 15577326 17492571 23323428 23365989 31154652 34985142 39520253 46731978 52477713 69970284 70097967 79040506 93463956 104955426 118560759 140195934 157433139 158081012 209910852 237121518 280391868 314866278 355682277 474243036 629732556 711364554 1067046831 1422729108 2134093662 3201140493 4268187324 6402280986 9603421479 12804561972 19206842958 38413685916