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2872618992 = 24344335119
BaseRepresentation
bin1010101100111000…
…1010111111110000
321102012100011110000
42223032022333300
521340342301432
61153014110000
7131120600325
oct25316127760
97365304400
102872618992
111244578191
1268204b300
1336a1a4b69
141d3728b4c
1511c2d157c
hexab38aff0

2872618992 has 100 divisors (see below), whose sum is σ = 8335022080. Its totient is φ = 955141632.

The previous prime is 2872618967. The next prime is 2872618993. The reversal of 2872618992 is 2998162782.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2872618993) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 558609 + ... + 563727.

Almost surely, 22872618992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2872618992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4167511040).

2872618992 is an abundant number, since it is smaller than the sum of its proper divisors (5462403088).

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

2872618992 is a wasteful number, since it uses less digits than its factorization.

2872618992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5572 (or 5557 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 2872618992 is about 53596.8188608242. The cubic root of 2872618992 is about 1421.5408441194.

The spelling of 2872618992 in words is "two billion, eight hundred seventy-two million, six hundred eighteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 433 648 866 1296 1299 1732 2598 3464 3897 5119 5196 6928 7794 10238 10392 11691 15357 15588 20476 20784 23382 30714 31176 35073 40952 46071 46764 61428 62352 70146 81904 92142 93528 122856 138213 140292 184284 187056 245712 276426 280584 368568 414639 552852 561168 737136 829278 1105704 1658556 2211408 2216527 3317112 4433054 6634224 6649581 8866108 13299162 17732216 19948743 26598324 35464432 39897486 53196648 59846229 79794972 106393296 119692458 159589944 179538687 239384916 319179888 359077374 478769832 718154748 957539664 1436309496 2872618992