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2097430176 = 25359675527
BaseRepresentation
bin111110100000100…
…0011111010100000
312102011200111022010
41331001003322200
513243420231201
6544043112520
7102655601532
oct17501037240
95364614263
102097430176
11986a43376
124a6512740
132756cb25a
1415c7bb852
15c420abd6
hex7d043ea0

2097430176 has 96 divisors (see below), whose sum is σ = 5683668480. Its totient is φ = 676912896.

The previous prime is 2097430163. The next prime is 2097430189. The reversal of 2097430176 is 6710347902.

It is an interprime number because it is at equal distance from previous prime (2097430163) and next prime (2097430189).

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 376725 + ... + 382251.

It is an arithmetic number, because the mean of its divisors is an integer number (59204880).

Almost surely, 22097430176 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 2097430176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2841834240).

2097430176 is an abundant number, since it is smaller than the sum of its proper divisors (3586238304).

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

2097430176 is a wasteful number, since it uses less digits than its factorization.

2097430176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5666 (or 5658 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 2097430176 is about 45797.7092876925. The cubic root of 2097430176 is about 1280.0565925499.

The spelling of 2097430176 in words is "two billion, ninety-seven million, four hundred thirty thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 67 96 118 134 177 201 236 268 354 402 472 536 708 804 944 1072 1416 1608 1888 2144 2832 3216 3953 5527 5664 6432 7906 11054 11859 15812 16581 22108 23718 31624 33162 44216 47436 63248 66324 88432 94872 126496 132648 176864 189744 265296 326093 370309 379488 530592 652186 740618 978279 1110927 1304372 1481236 1956558 2221854 2608744 2962472 3913116 4443708 5217488 5924944 7826232 8887416 10434976 11849888 15652464 17774832 21848231 31304928 35549664 43696462 65544693 87392924 131089386 174785848 262178772 349571696 524357544 699143392 1048715088 2097430176