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38500248192 = 273714323009
BaseRepresentation
bin100011110110110010…
…110010101010000000
310200101011000020210020
4203312302302222000
51112322030420232
625404201533440
72532033465360
oct436662625200
9120334006706
1038500248192
111536742833a
1275657a4280
133827449263
141c133309a0
151004edae2c
hex8f6cb2a80

38500248192 has 64 divisors (see below), whose sum is σ = 116875761600. Its totient is φ = 11000070144.

The previous prime is 38500248191. The next prime is 38500248197. The reversal of 38500248192 is 29184200583.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×385002481922 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (38500248191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7158817 + ... + 7164192.

It is an arithmetic number, because the mean of its divisors is an integer number (1826183775).

Almost surely, 238500248192 is an apocalyptic number.

38500248192 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38500248192 is an abundant number, since it is smaller than the sum of its proper divisors (78375513408).

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

38500248192 is a wasteful number, since it uses less digits than its factorization.

38500248192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14323033 (or 14323021 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 38500248192 in words is "thirty-eight billion, five hundred million, two hundred forty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 14323009 28646018 42969027 57292036 85938054 100261063 114584072 171876108 200522126 229168144 300783189 343752216 401044252 458336288 601566378 687504432 802088504 916672576 1203132756 1375008864 1604177008 1833345152 2406265512 2750017728 3208354016 4812531024 5500035456 6416708032 9625062048 12833416064 19250124096 38500248192