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2669993144 = 237213241983
BaseRepresentation
bin1001111100100100…
…1101110010111000
320220002001201000222
42133021031302320
520432004240034
61120535115212
7123110365400
oct23711156270
96802051028
102669993144
111150161405
12626212b08
1333720b600
141b4861800
1510960912e
hex9f24dcb8

2669993144 has 144 divisors (see below), whose sum is σ = 6466385520. Its totient is φ = 1029450240.

The previous prime is 2669993129. The next prime is 2669993159. The reversal of 2669993144 is 4413999662.

It is an interprime number because it is at equal distance from previous prime (2669993129) and next prime (2669993159).

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2715677 + ... + 2716659.

It is an arithmetic number, because the mean of its divisors is an integer number (44905455).

Almost surely, 22669993144 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 2669993144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3233192760).

2669993144 is an abundant number, since it is smaller than the sum of its proper divisors (3796392376).

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

2669993144 is a wasteful number, since it uses less digits than its factorization.

2669993144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1046 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 53.

The square root of 2669993144 is about 51671.9763895286. The cubic root of 2669993144 is about 1387.2989217469.

The spelling of 2669993144 in words is "two billion, six hundred sixty-nine million, nine hundred ninety-three thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 26 28 41 49 52 56 82 91 98 104 164 169 182 196 287 328 338 364 392 533 574 637 676 728 983 1066 1148 1183 1274 1352 1966 2009 2132 2296 2366 2548 3731 3932 4018 4264 4732 5096 6881 6929 7462 7864 8036 8281 9464 12779 13762 13858 14924 16072 16562 25558 26117 27524 27716 29848 33124 40303 48167 48503 51116 52234 55048 55432 66248 80606 89453 96334 97006 102232 104468 161212 166127 178906 192668 194012 208936 282121 322424 332254 339521 357812 385336 388024 523939 564242 626171 664508 679042 715624 1047878 1128484 1162889 1252342 1329016 1358084 1974847 2095756 2256968 2325778 2504684 2716168 3667573 3949694 4191512 4651556 5009368 6811207 7335146 7899388 8140223 9303112 13622414 14670292 15798776 16280446 25673011 27244828 29340584 32560892 47678449 51346022 54489656 65121784 95356898 102692044 190713796 205384088 333749143 381427592 667498286 1334996572 2669993144