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102949240507200 = 26335237191337213
BaseRepresentation
bin10111011010000110111100…
…111010010000101101000000
3111111111211222120122101212000
4113122012330322100231000
5101443210021032212300
61002542121142104000
730453560102630013
oct2732067472205500
9444454876571760
10102949240507200
112a8915894266aa
12b66830441b000
13455a0c17668b9
141b5caac59537a
15bd7e2cb48c00
hex5da1bce90b40

102949240507200 has 672 divisors, whose sum is σ = 387450145413120. Its totient is φ = 26571226521600.

The previous prime is 102949240507193. The next prime is 102949240507207. The reversal of 102949240507200 is 2705042949201.

102949240507200 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 492 + 40 + 50 + 72 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (102949240507193) and next prime (102949240507207).

It is a super-3 number, since 3×1029492405072003 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102949240507207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 305125794 + ... + 305463006.

Almost surely, 2102949240507200 is an apocalyptic number.

102949240507200 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 102949240507200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193725072706560).

102949240507200 is an abundant number, since it is smaller than the sum of its proper divisors (284500904905920).

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

102949240507200 is a wasteful number, since it uses less digits than its factorization.

102949240507200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337472 (or 337451 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 102949240507200 in words is "one hundred two trillion, nine hundred forty-nine billion, two hundred forty million, five hundred seven thousand, two hundred".