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2913454996704 = 253274875715197
BaseRepresentation
bin101010011001010111011…
…100110011110011100000
3101022112010200120120210200
4222121113130303303200
5340213223434343304
610110231151425200
7420330062603160
oct52312734636340
911275120516720
102913454996704
11a2365343486a
123b0792225200
1318197874b295
14a1024c005a0
1550bbb884e39
hex2a657733ce0

2913454996704 has 288 divisors, whose sum is σ = 9506617376256. Its totient is φ = 829092049920.

The previous prime is 2913454996693. The next prime is 2913454996723. The reversal of 2913454996704 is 4076994543192.

2913454996704 is a `hidden beast` number, since 2 + 9 + 13 + 4 + 549 + 9 + 6 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 560600634 + ... + 560605830.

It is an arithmetic number, because the mean of its divisors is an integer number (33009088112).

Almost surely, 22913454996704 is an apocalyptic number.

2913454996704 is a gapful number since it is divisible by the number (24) 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 2913454996704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4753308688128).

2913454996704 is an abundant number, since it is smaller than the sum of its proper divisors (6593162379552).

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

2913454996704 is a wasteful number, since it uses less digits than its factorization.

2913454996704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6278 (or 6267 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 2913454996704 in words is "two trillion, nine hundred thirteen billion, four hundred fifty-four million, nine hundred ninety-six thousand, seven hundred four".