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2874257226720 = 25375116771103
BaseRepresentation
bin101001110100110111000…
…101001011101111100000
3101011202221221001120000000
4221310313011023233200
5334042434322223340
610040225431300000
7414441526214325
oct51646705135740
911152857046000
102874257226720
11a08a69300040
123a5072b1a600
1317b06c94c949
149d186dbcb4c
154eb75515d30
hex29d3714bbe0

2874257226720 has 768 divisors, whose sum is σ = 11136421416960. Its totient is φ = 695129610240.

The previous prime is 2874257226689. The next prime is 2874257226751. The reversal of 2874257226720 is 276227524782.

2874257226720 is a `hidden beast` number, since 2 + 8 + 7 + 4 + 2 + 572 + 2 + 67 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2874257226689) and next prime (2874257226751).

It is a super-2 number, since 2×28742572267202 (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2605853689 + ... + 2605854791.

It is an arithmetic number, because the mean of its divisors is an integer number (14500548720).

Almost surely, 22874257226720 is an apocalyptic number.

2874257226720 is a gapful number since it is divisible by the number (20) 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 2874257226720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5568210708480).

2874257226720 is an abundant number, since it is smaller than the sum of its proper divisors (8262164190240).

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

2874257226720 is a wasteful number, since it uses less digits than its factorization.

2874257226720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1827 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 10536960, while the sum is 54.

The spelling of 2874257226720 in words is "two trillion, eight hundred seventy-four billion, two hundred fifty-seven million, two hundred twenty-six thousand, seven hundred twenty".