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38270473728 = 29386328871
BaseRepresentation
bin100011101001000110…
…010001011000000000
310122210010122111110220
4203221012101120000
51111334220124403
625325313023040
72523243442104
oct435106213000
9118703574426
1038270473728
1115259759393
127500854a80
1337bb968836
141bd09db904
15edec4e953
hex8e9191600

38270473728 has 80 divisors (see below), whose sum is σ = 102076609536. Its totient is φ = 12741601280.

The previous prime is 38270473727. The next prime is 38270473777. The reversal of 38270473728 is 82737407283.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38270473727) 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, 1311133 + ... + 1340003.

Almost surely, 238270473728 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 38270473728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51038304768).

38270473728 is an abundant number, since it is smaller than the sum of its proper divisors (63806135808).

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

38270473728 is an equidigital number, since it uses as much as digits as its factorization.

38270473728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29755 (or 29739 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 51.

The spelling of 38270473728 in words is "thirty-eight billion, two hundred seventy million, four hundred seventy-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 863 1536 1726 2589 3452 5178 6904 10356 13808 20712 27616 28871 41424 55232 57742 82848 86613 110464 115484 165696 173226 220928 230968 331392 346452 441856 461936 662784 692904 923872 1325568 1385808 1847744 2771616 3695488 5543232 7390976 11086464 14781952 22172928 24915673 44345856 49831346 74747019 99662692 149494038 199325384 298988076 398650768 597976152 797301536 1195952304 1594603072 2391904608 3189206144 4783809216 6378412288 9567618432 12756824576 19135236864 38270473728