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12275724440 = 2357192307467
BaseRepresentation
bin10110110111011000…
…01011000010011000
31011200111221102011202
423123230023002120
5200120041140230
65350035213332
7613126636040
oct133354130230
934614842152
1012275724440
11522a365511
122467147248
131208313095
148464b2720
154bca86a45
hex2dbb0b098

12275724440 has 64 divisors (see below), whose sum is σ = 33227539200. Its totient is φ = 3987301248.

The previous prime is 12275724431. The next prime is 12275724449. The reversal of 12275724440 is 4442757221.

It is an interprime number because it is at equal distance from previous prime (12275724431) and next prime (12275724449).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 12275724394 and 12275724403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12275724449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1148414 + ... + 1159053.

It is an arithmetic number, because the mean of its divisors is an integer number (519180300).

Almost surely, 212275724440 is an apocalyptic number.

12275724440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12275724440 is an abundant number, since it is smaller than the sum of its proper divisors (20951814760).

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

12275724440 is a wasteful number, since it uses less digits than its factorization.

12275724440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2307504 (or 2307500 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 38.

The spelling of 12275724440 in words is "twelve billion, two hundred seventy-five million, seven hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 665 760 1064 1330 2660 5320 2307467 4614934 9229868 11537335 16152269 18459736 23074670 32304538 43841873 46149340 64609076 80761345 87683746 92298680 129218152 161522690 175367492 219209365 306893111 323045380 350734984 438418730 613786222 646090760 876837460 1227572444 1534465555 1753674920 2455144888 3068931110 6137862220 12275724440