Search a number
-
+
4123206264372 = 22313971791522249
BaseRepresentation
bin111100000000000010001…
…111101010011000110100
3112121011201100000102021220
4330000002033222120310
51020023311300424442
612434101431510340
7603614615656056
oct74000217523064
915534640012256
104123206264372
11134a707498658
125671315283b0
1323ba80335a50
141037c84218d6
15723c2699eec
hex3c0023ea634

4123206264372 has 96 divisors (see below), whose sum is σ = 10526176080000. Its totient is φ = 1248584343552.

The previous prime is 4123206264349. The next prime is 4123206264403. The reversal of 4123206264372 is 2734626023214.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 1947504 + ... + 3469752.

It is an arithmetic number, because the mean of its divisors is an integer number (109647667500).

Almost surely, 24123206264372 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 4123206264372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5263088040000).

4123206264372 is an abundant number, since it is smaller than the sum of its proper divisors (6402969815628).

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

4123206264372 is a wasteful number, since it uses less digits than its factorization.

4123206264372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522545 (or 1522543 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 42.

The spelling of 4123206264372 in words is "four trillion, one hundred twenty-three billion, two hundred six million, two hundred sixty-four thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 97 156 179 194 291 358 388 537 582 716 1074 1164 1261 2148 2327 2522 3783 4654 5044 6981 7566 9308 13962 15132 17363 27924 34726 52089 69452 104178 208356 225719 451438 677157 902876 1354314 1522249 2708628 3044498 4566747 6088996 9133494 18266988 19789237 39578474 59367711 79156948 118735422 147658153 237470844 272482571 295316306 442974459 544965142 590632612 817447713 885948918 1089930284 1634895426 1771897836 1919555989 3269790852 3542273423 3839111978 5758667967 7084546846 7678223956 10626820269 11517335934 14169093692 21253640538 23034671868 26430809387 42507281076 52861618774 79292428161 105723237548 158584856322 317169712644 343600522031 687201044062 1030801566093 1374402088124 2061603132186 4123206264372