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157553201245440 = 283571113193077027
BaseRepresentation
bin100011110100101100110110…
…100101111110110100000000
3202122211221100111011202212010
4203310230312211332310000
5131122322424004323230
61315030535204132520
745120562126054140
oct4364546645766400
9678757314152763
10157553201245440
1146223a34777140
1215806a48397140
1369bb2843686a0
142ac98893d6920
1513334c119d9b0
hex8f4b3697ed00

157553201245440 has 2304 divisors, whose sum is σ = 713581982023680. Its totient is φ = 28532152074240.

The previous prime is 157553201245411. The next prime is 157553201245493. The reversal of 157553201245440 is 44542102355751.

157553201245440 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 2×1575532012454402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 157553201245440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 22421115207 + ... + 22421122233.

It is an arithmetic number, because the mean of its divisors is an integer number (309714401920).

Almost surely, 2157553201245440 is an apocalyptic number.

157553201245440 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 157553201245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356790991011840).

157553201245440 is an abundant number, since it is smaller than the sum of its proper divisors (556028780778240).

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

157553201245440 is a wasteful number, since it uses less digits than its factorization.

157553201245440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7408 (or 7394 counting only the distinct ones).

The product of its (nonzero) digits is 3360000, while the sum is 48.

The spelling of 157553201245440 in words is "one hundred fifty-seven trillion, five hundred fifty-three billion, two hundred one million, two hundred forty-five thousand, four hundred forty".