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3904010557245 = 3251979157136791
BaseRepresentation
bin111000110011111001001…
…010011001011100111101
3111211012221012121202221200
4320303321022121130331
51002430403200312440
612145251103050113
7552025010131251
oct70637112313475
914735835552850
103904010557245
111275755200597
125307592a0939
132241ba165ab6
14d6d52bc0261
156b843dcdc30
hex38cf929973d

3904010557245 has 96 divisors (see below), whose sum is σ = 7218060595200. Its totient is φ = 1946291068800.

The previous prime is 3904010557243. The next prime is 3904010557247. The reversal of 3904010557245 is 5427550104093.

3904010557245 is a `hidden beast` number, since 3 + 9 + 0 + 40 + 10 + 557 + 2 + 45 = 666.

It is an interprime number because it is at equal distance from previous prime (3904010557243) and next prime (3904010557247).

It is not a de Polignac number, because 3904010557245 - 21 = 3904010557243 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 3904010557245.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3904010557243) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 106094800 + ... + 106131590.

It is an arithmetic number, because the mean of its divisors is an integer number (75188131200).

Almost surely, 23904010557245 is an apocalyptic number.

It is an amenable number.

3904010557245 is a deficient number, since it is larger than the sum of its proper divisors (3314050037955).

3904010557245 is a wasteful number, since it uses less digits than its factorization.

3904010557245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38471 (or 38468 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 3904010557245 in words is "three trillion, nine hundred four billion, ten million, five hundred fifty-seven thousand, two hundred forty-five".

Divisors: 1 3 5 9 15 19 45 57 79 95 171 237 285 395 711 855 1185 1501 1571 3555 4503 4713 7505 7855 13509 14139 22515 23565 29849 36791 67545 70695 89547 110373 124109 149245 183955 268641 331119 372327 447735 551865 620545 699029 1116981 1343205 1655595 1861635 2097087 2358071 2906489 3495145 5584905 6291261 7074213 8719467 10485435 11790355 14532445 21222639 26158401 31456305 35371065 43597335 55223291 57798661 106113195 130792005 165669873 173395983 276116455 288993305 497009619 520187949 828349365 866979915 1098174559 2485048095 2600939745 3294523677 4566094219 5490872795 9883571031 13698282657 16472618385 22830471095 41094847971 49417855155 68491413285 86755790161 205474239855 260267370483 433778950805 780802111449 1301336852415 3904010557245