Search a number
-
+
137408870955450 = 23523851237875653
BaseRepresentation
bin11111001111100011111110…
…111100010011100110111010
3200000112011022110210212022110
4133033203332330103212322
5121002301331431033300
61204124432555033150
740641314626562613
oct3717437674234672
9600464273725273
10137408870955450
113a86785845a006
12134b2914a3b7b6
135b897a73294c3
1425d08a67bac0a
1510d44c037c550
hex7cf8fef139ba

137408870955450 has 48 divisors (see below), whose sum is σ = 340862491145376. Its totient is φ = 36632850408000.

The previous prime is 137408870955449. The next prime is 137408870955451. The reversal of 137408870955450 is 54559078804731.

It is an interprime number because it is at equal distance from previous prime (137408870955449) and next prime (137408870955451).

It is a super-3 number, since 3×1374088709554503 (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (137408870955451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118360177 + ... + 119515476.

It is an arithmetic number, because the mean of its divisors is an integer number (7101301898862).

Almost surely, 2137408870955450 is an apocalyptic number.

137408870955450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137408870955450 is an abundant number, since it is smaller than the sum of its proper divisors (203453620189926).

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

137408870955450 is a wasteful number, since it uses less digits than its factorization.

137408870955450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237879519 (or 237879514 counting only the distinct ones).

The product of its (nonzero) digits is 169344000, while the sum is 66.

The spelling of 137408870955450 in words is "one hundred thirty-seven trillion, four hundred eight billion, eight hundred seventy million, nine hundred fifty-five thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 3851 7702 11553 19255 23106 38510 57765 96275 115530 192550 288825 577650 237875653 475751306 713626959 1189378265 1427253918 2378756530 3568134795 5946891325 7136269590 11893782650 17840673975 35681347950 916059139703 1832118279406 2748177419109 4580295698515 5496354838218 9160591397030 13740887095545 22901478492575 27481774191090 45802956985150 68704435477725 137408870955450