Search a number
-
+
152035400000 = 265511292383
BaseRepresentation
bin1000110110011000000…
…1000001100101000000
3112112102121102112202202
42031212001001211000
54442332030300000
6153502154132332
713661402402021
oct2154601014500
9475377375682
10152035400000
1159529024310
12255704210a8
131144c16c663
147503c22c48
153e4c635dd5
hex2366041940

152035400000 has 336 divisors, whose sum is σ = 425740250880. Its totient is φ = 53356800000.

The previous prime is 152035399987. The next prime is 152035400051. The reversal of 152035400000 is 4530251.

It is a super-2 number, since 2×1520354000002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63798809 + ... + 63801191.

It is an arithmetic number, because the mean of its divisors is an integer number (1267084080).

Almost surely, 2152035400000 is an apocalyptic number.

152035400000 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 152035400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212870125440).

152035400000 is an abundant number, since it is smaller than the sum of its proper divisors (273704850880).

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

152035400000 is an equidigital number, since it uses as much as digits as its factorization.

152035400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2460 (or 2430 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

Adding to 152035400000 its reverse (4530251), we get a palindrome (152039930251).

The spelling of 152035400000 in words is "one hundred fifty-two billion, thirty-five million, four hundred thousand".