Search a number
-
+
37450091643904 = 2103141992
BaseRepresentation
bin10001000001111100001110…
…11010001100010000000000
311220121012020021111021021201
420200332013122030100000
514402040241430101104
6211352200134430544
710613452116453532
oct1040760732142000
9156535207437251
1037450091643904
1110a29549458205
12424a0b3b02454
1317b86b4121b94
1493684632d852
1544e26981a0a4
hex220f8768c400

37450091643904 has 165 divisors, whose sum is σ = 77749754395335. Its totient is φ = 18029951723520.

The previous prime is 37450091643869. The next prime is 37450091643931. The reversal of 37450091643904 is 40934619005473.

The square root of 37450091643904 is 6119648.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×374500916439042 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 188191415197 + ... + 188191415395.

It is an arithmetic number, because the mean of its divisors is an integer number (471210632699).

Almost surely, 237450091643904 is an apocalyptic number.

37450091643904 is the 6119648-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37450091643904

37450091643904 is an abundant number, since it is smaller than the sum of its proper divisors (40299662751431).

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

37450091643904 is an frugal number, since it uses more digits than its factorization.

37450091643904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 55.

The spelling of 37450091643904 in words is "thirty-seven trillion, four hundred fifty billion, ninety-one million, six hundred forty-three thousand, nine hundred four".