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155500117740 = 223751132671
BaseRepresentation
bin1001000011010010000…
…1110111111011101100
3112212101001220110000000
42100310201313323230
510021431012231430
6155234043104300
714143303122642
oct2206441677354
9485331813000
10155500117740
115aa46843000
1226178812090
1311881c048b6
147752039192
1540a18c3e60
hex2434877eec

155500117740 has 384 divisors, whose sum is σ = 538890670080. Its totient is φ = 37682884800.

The previous prime is 155500117723. The next prime is 155500117757. The reversal of 155500117740 is 47711005551.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (155500117723) and next prime (155500117757).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 155500117695 and 155500117704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 58216605 + ... + 58219275.

It is an arithmetic number, because the mean of its divisors is an integer number (1403361120).

Almost surely, 2155500117740 is an apocalyptic number.

155500117740 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 155500117740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269445335040).

155500117740 is an abundant number, since it is smaller than the sum of its proper divisors (383390552340).

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

155500117740 is an equidigital number, since it uses as much as digits as its factorization.

155500117740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2734 (or 2692 counting only the distinct ones).

The product of its (nonzero) digits is 24500, while the sum is 36.

The spelling of 155500117740 in words is "one hundred fifty-five billion, five hundred million, one hundred seventeen thousand, seven hundred forty".