Search a number
-
+
38477381148 = 22324761736857
BaseRepresentation
bin100011110101011011…
…100011111000011100
310200022112222111002200
4203311123203320130
51112300202144043
625402023451500
72531335225533
oct436533437034
9120275874080
1038477381148
1115355529a58
127559bb6b90
1338227a0b6b
141c1029b31a
151002ec07d3
hex8f56e3e1c

38477381148 has 72 divisors (see below), whose sum is σ = 99495369792. Its totient is φ = 12532219392.

The previous prime is 38477381143. The next prime is 38477381167. The reversal of 38477381148 is 84118377483.

It is a junction number, because it is equal to n+sod(n) for n = 38477381094 and 38477381103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38477381143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1025536 + ... + 1062392.

It is an arithmetic number, because the mean of its divisors is an integer number (1381880136).

Almost surely, 238477381148 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 38477381148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49747684896).

38477381148 is an abundant number, since it is smaller than the sum of its proper divisors (61017988644).

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

38477381148 is a wasteful number, since it uses less digits than its factorization.

38477381148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37531 (or 37526 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The spelling of 38477381148 in words is "thirty-eight billion, four hundred seventy-seven million, three hundred eighty-one thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 617 846 1234 1692 1851 2468 3702 5553 7404 11106 22212 28999 36857 57998 73714 86997 110571 115996 147428 173994 221142 260991 331713 347988 442284 521982 663426 1043964 1326852 1732279 3464558 5196837 6929116 10393674 15590511 20787348 22740769 31181022 45481538 62362044 68222307 90963076 136444614 204666921 272889228 409333842 818667684 1068816143 2137632286 3206448429 4275264572 6412896858 9619345287 12825793716 19238690574 38477381148