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2054108164 = 2217192973751
BaseRepresentation
bin111101001101111…
…0011010000000100
312022011011111200011
41322123303100010
513201322430124
6535454400004
7101621426353
oct17233632004
95264144604
102054108164
11964543959
12493b00004
13269740624
14156b4199a
15c04ee994
hex7a6f3404

2054108164 has 96 divisors (see below), whose sum is σ = 4206988800. Its totient is φ = 870912000.

The previous prime is 2054108149. The next prime is 2054108179. The reversal of 2054108164 is 4618014502.

It is an interprime number because it is at equal distance from previous prime (2054108149) and next prime (2054108179).

It is a super-2 number, since 2×20541081642 = 8438720698822901792, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2734789 + ... + 2735539.

It is an arithmetic number, because the mean of its divisors is an integer number (43822800).

Almost surely, 22054108164 is an apocalyptic number.

It is an amenable number.

2054108164 is an abundant number, since it is smaller than the sum of its proper divisors (2152880636).

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

2054108164 is a wasteful number, since it uses less digits than its factorization.

2054108164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 2054108164 is about 45322.2700667122. The cubic root of 2054108164 is about 1271.1821022970.

The spelling of 2054108164 in words is "two billion, fifty-four million, one hundred eight thousand, one hundred sixty-four".

Divisors: 1 2 4 17 19 29 34 38 58 68 73 76 116 146 292 323 493 551 646 751 986 1102 1241 1292 1387 1502 1972 2117 2204 2482 2774 3004 4234 4964 5548 8468 9367 12767 14269 18734 21779 23579 25534 28538 35989 37468 40223 43558 47158 51068 54823 57076 71978 80446 87116 94316 109646 143956 160892 219292 242573 370243 413801 485146 683791 740486 827602 931991 970292 1041637 1367582 1480972 1589867 1655204 1863982 2083274 2735164 3179734 3727964 4166548 6359468 7034617 14069234 17707829 27027739 28138468 30207473 35415658 54055478 60414946 70831316 108110956 120829892 513527041 1027054082 2054108164