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30123825157088 = 25131910693565213
BaseRepresentation
bin1101101100101101111111…
…11001011101001111100000
310221122210212011120111001022
412312112333321131033200
512422022043220011323
6144022405542025012
76226242320016125
oct666267771351740
9127583764514038
1030123825157088
119664495a7a323
123466248118168
1313a6883c5b580
1476200273274c
153738ca9b94c8
hex1b65bfe5d3e0

30123825157088 has 96 divisors (see below), whose sum is σ = 67292701207200. Its totient is φ = 13159226013696.

The previous prime is 30123825157037. The next prime is 30123825157177. The reversal of 30123825157088 is 88075152832103.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6666770 + ... + 10231982.

It is an arithmetic number, because the mean of its divisors is an integer number (700965637575).

Almost surely, 230123825157088 is an apocalyptic number.

30123825157088 is a gapful number since it is divisible by the number (38) 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 30123825157088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33646350603600).

30123825157088 is an abundant number, since it is smaller than the sum of its proper divisors (37168876050112).

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

30123825157088 is a wasteful number, since it uses less digits than its factorization.

30123825157088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3566324 (or 3566316 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 53.

The spelling of 30123825157088 in words is "thirty trillion, one hundred twenty-three billion, eight hundred twenty-five million, one hundred fifty-seven thousand, eighty-eight".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 104 152 208 247 304 416 494 608 988 1069 1976 2138 3952 4276 7904 8552 13897 17104 20311 27794 34208 40622 55588 81244 111176 162488 222352 264043 324976 444704 528086 649952 1056172 2112344 3565213 4224688 7130426 8449376 14260852 28521704 46347769 57043408 67739047 92695538 114086816 135478094 185391076 270956188 370782152 541912376 741564304 880607611 1083824752 1483128608 1761215222 2167649504 3522430444 3811212697 7044860888 7622425394 14089721776 15244850788 28179443552 30489701576 49545765061 60979403152 72413041243 99091530122 121958806304 144826082486 198183060244 289652164972 396366120488 579304329944 792732240976 941369536159 1158608659888 1585464481952 1882739072318 2317217319776 3765478144636 7530956289272 15061912578544 30123825157088