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2106367488 = 29323311381
BaseRepresentation
bin111110110001100…
…1001111000000000
312102210111112222200
41331203021320000
513303212224423
6545002433200
7103124554041
oct17543117000
95383445880
102106367488
11990a98085
124a9502800
1327750a1c4
1415da668c8
15c4dc3d43
hex7d8c9e00

2106367488 has 120 divisors (see below), whose sum is σ = 6101900376. Its totient is φ = 699494400.

The previous prime is 2106367481. The next prime is 2106367489. The reversal of 2106367488 is 8847636012.

2106367488 is a `hidden beast` number, since 2 + 1 + 0 + 636 + 7 + 4 + 8 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2106367481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1524558 + ... + 1525938.

Almost surely, 22106367488 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 2106367488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3050950188).

2106367488 is an abundant number, since it is smaller than the sum of its proper divisors (3995532888).

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

2106367488 is a wasteful number, since it uses less digits than its factorization.

2106367488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 2106367488 is about 45895.1793546991. The cubic root of 2106367488 is about 1281.8721562413.

The spelling of 2106367488 in words is "two billion, one hundred six million, three hundred sixty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 331 384 512 576 662 768 993 1152 1324 1381 1536 1986 2304 2648 2762 2979 3972 4143 4608 5296 5524 5958 7944 8286 10592 11048 11916 12429 15888 16572 21184 22096 23832 24858 31776 33144 42368 44192 47664 49716 63552 66288 84736 88384 95328 99432 127104 132576 169472 176768 190656 198864 254208 265152 353536 381312 397728 457111 508416 530304 707072 762624 795456 914222 1060608 1371333 1525248 1590912 1828444 2121216 2742666 3181824 3656888 4113999 5485332 6363648 7313776 8227998 10970664 14627552 16455996 21941328 29255104 32911992 43882656 58510208 65823984 87765312 117020416 131647968 175530624 234040832 263295936 351061248 526591872 702122496 1053183744 2106367488