Search a number
-
+
155701923439104 = 29367316073167
BaseRepresentation
bin100011011001110000101101…
…110101100110001000000000
3202102021221212202101011000000
4203121300231311212020000
5130402010014400022404
61311052250504000000
744540043545253330
oct4331605565461000
9672257782334000
10155701923439104
114567a8a6705709
12155680ab160000
1368b5822719553
142a640287130c0
15130026e9e6339
hex8d9c2dd66200

155701923439104 has 1120 divisors, whose sum is σ = 551346361860096. Its totient is φ = 42966727188480.

The previous prime is 155701923439103. The next prime is 155701923439121. The reversal of 155701923439104 is 401934329107551.

155701923439104 is a `hidden beast` number, since 1 + 5 + 5 + 7 + 0 + 19 + 234 + 391 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (155701923439103) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 49163851729 + ... + 49163854895.

Almost surely, 2155701923439104 is an apocalyptic number.

155701923439104 is a gapful number since it is divisible by the number (14) 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 155701923439104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275673180930048).

155701923439104 is an abundant number, since it is smaller than the sum of its proper divisors (395644438420992).

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

155701923439104 is an frugal number, since it uses more digits than its factorization.

155701923439104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3848 (or 3817 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 155701923439104 in words is "one hundred fifty-five trillion, seven hundred one billion, nine hundred twenty-three million, four hundred thirty-nine thousand, one hundred four".