Search a number
-
+
37400131026 = 2337343122013
BaseRepresentation
bin100010110101001110…
…001011010111010010
310120112110221111202000
4202311032023113102
51103043413143101
625103102334430
72462544603606
oct426516132722
9116473844660
1037400131026
1114952442aa5
1272b928a416
1336b055715b
141b4b1a1506
15e8d630486
hex8b538b5d2

37400131026 has 64 divisors (see below), whose sum is σ = 84449226240. Its totient is φ = 12266847360.

The previous prime is 37400131007. The next prime is 37400131063. The reversal of 37400131026 is 62013100473.

37400131026 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1687996 + ... + 1710008.

It is an arithmetic number, because the mean of its divisors is an integer number (1319519160).

Almost surely, 237400131026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37400131026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42224613120).

37400131026 is an abundant number, since it is smaller than the sum of its proper divisors (47049095214).

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

37400131026 is a wasteful number, since it uses less digits than its factorization.

37400131026 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22528 (or 22522 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 37400131026 its reverse (62013100473), we get a palindrome (99413231499).

The spelling of 37400131026 in words is "thirty-seven billion, four hundred million, one hundred thirty-one thousand, twenty-six".

Divisors: 1 2 3 6 9 18 27 54 73 146 219 431 438 657 862 1293 1314 1971 2586 3879 3942 7758 11637 22013 23274 31463 44026 62926 66039 94389 132078 188778 198117 283167 396234 566334 594351 849501 1188702 1606949 1699002 3213898 4820847 9487603 9641694 14462541 18975206 28462809 28925082 43387623 56925618 85388427 86775246 170776854 256165281 512330562 692595019 1385190038 2077785057 4155570114 6233355171 12466710342 18700065513 37400131026