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74112052725 = 3252292391661
BaseRepresentation
bin100010100000101101…
…1000010110111110101
321002021222220100202200
41011001123002313311
52203240141141400
654014022255113
75232365024364
oct1050133026765
9232258810680
1074112052725
112948135a157
1212443b87499
136cb133c849
143830bb77db
151ddb61bb00
hex11416c2df5

74112052725 has 54 divisors (see below), whose sum is σ = 137478453606. Its totient is φ = 38163350400.

The previous prime is 74112052711. The next prime is 74112052739. The reversal of 74112052725 is 52725021147.

74112052725 is a `hidden beast` number, since 7 + 4 + 1 + 120 + 527 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (74112052711) and next prime (74112052739).

It can be written as a sum of positive squares in 9 ways, for example, as 13030907409 + 61081145316 = 114153^2 + 247146^2 .

It is not a de Polignac number, because 74112052725 - 24 = 74112052709 is a prime.

It is a super-2 number, since 2×741120527252 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 74112052725.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 6606 + ... + 385055.

It is an arithmetic number, because the mean of its divisors is an integer number (2545897289).

Almost surely, 274112052725 is an apocalyptic number.

74112052725 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

74112052725 is a deficient number, since it is larger than the sum of its proper divisors (63366400881).

74112052725 is a wasteful number, since it uses less digits than its factorization.

74112052725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391735 (or 391698 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The spelling of 74112052725 in words is "seventy-four billion, one hundred twelve million, fifty-two thousand, seven hundred twenty-five".

Divisors: 1 3 5 9 15 25 29 45 75 87 145 225 261 435 725 841 1305 2175 2523 4205 6525 7569 12615 21025 37845 63075 189225 391661 1174983 1958305 3524949 5874915 9791525 11358169 17624745 29374575 34074507 56790845 88123725 102223521 170372535 283954225 329386901 511117605 851862675 988160703 1646934505 2555588025 2964482109 4940803515 8234672525 14822410545 24704017575 74112052725