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148267790707920 = 2435133112712070543
BaseRepresentation
bin100001101101100101001000…
…111111110010110011010000
3201102222021002021002101211220
4201231211020333302303100
5123413204413410123140
61243201141023205040
743141665033542232
oct4155451077626320
9642867067071756
10148267790707920
1143274020580924
121476735b146780
136496792135440
1428882b1088252
151221bbb081bd0
hex86d948ff2cd0

148267790707920 has 320 divisors, whose sum is σ = 514976916701184. Its totient is φ = 35041266247680.

The previous prime is 148267790707913. The next prime is 148267790707969. The reversal of 148267790707920 is 29707097762841.

148267790707920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1482677907079202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6248169 + ... + 18318711.

Almost surely, 2148267790707920 is an apocalyptic number.

148267790707920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148267790707920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257488458350592).

148267790707920 is an abundant number, since it is smaller than the sum of its proper divisors (366709125993264).

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

148267790707920 is a wasteful number, since it uses less digits than its factorization.

148267790707920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12070730 (or 12070724 counting only the distinct ones).

The product of its (nonzero) digits is 149361408, while the sum is 69.

The spelling of 148267790707920 in words is "one hundred forty-eight trillion, two hundred sixty-seven billion, seven hundred ninety million, seven hundred seven thousand, nine hundred twenty".