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38016787648 = 267292926169
BaseRepresentation
bin100011011001111110…
…100010010011000000
310122010110021220121011
4203121332202103000
51110324244201043
625244211410304
72514043235410
oct433176422300
9118113256534
1038016787648
1115139538274
12744b8b3994
13377b235428
141ba9042640
15ec783d59d
hex8d9fa24c0

38016787648 has 56 divisors (see below), whose sum is σ = 89189661600. Its totient is φ = 15731079168.

The previous prime is 38016787631. The next prime is 38016787651. The reversal of 38016787648 is 84678761083.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×380167876482 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a junction number, because it is equal to n+sod(n) for n = 38016787592 and 38016787601.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1450093 + ... + 1476076.

Almost surely, 238016787648 is an apocalyptic number.

It is an amenable number.

38016787648 is an abundant number, since it is smaller than the sum of its proper divisors (51172873952).

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

38016787648 is a wasteful number, since it uses less digits than its factorization.

38016787648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2926217 (or 2926207 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 58.

The spelling of 38016787648 in words is "thirty-eight billion, sixteen million, seven hundred eighty-seven thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 203 224 232 406 448 464 812 928 1624 1856 3248 6496 12992 2926169 5852338 11704676 20483183 23409352 40966366 46818704 81932732 84858901 93637408 163865464 169717802 187274816 327730928 339435604 594012307 655461856 678871208 1188024614 1310923712 1357742416 2376049228 2715484832 4752098456 5430969664 9504196912 19008393824 38016787648