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4633112725440 = 263527717422957
BaseRepresentation
bin100001101101011101100…
…0010011100011111000000
3121101220212120222111100220
41003122323002130133000
51101402103324203230
613504231140543040
7655505565245223
oct103327302343700
917356776874326
104633112725440
11152698a391961
12629b180b1a80
13277b929802b4
1412035b1b95ba
15807b7d60d10
hex436bb09c7c0

4633112725440 has 112 divisors (see below), whose sum is σ = 14763238923552. Its totient is φ = 1231036379136.

The previous prime is 4633112725433. The next prime is 4633112725469. The reversal of 4633112725440 is 445272113364.

It is a junction number, because it is equal to n+sod(n) for n = 4633112725392 and 4633112725401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8445559 + ... + 8977398.

It is an arithmetic number, because the mean of its divisors is an integer number (131814633246).

Almost surely, 24633112725440 is an apocalyptic number.

4633112725440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4633112725440 is an abundant number, since it is smaller than the sum of its proper divisors (10130126198112).

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

4633112725440 is a wasteful number, since it uses less digits than its factorization.

4633112725440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17423254 (or 17423244 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 4633112725440 in words is "four trillion, six hundred thirty-three billion, one hundred twelve million, seven hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 277 320 480 554 831 960 1108 1385 1662 2216 2770 3324 4155 4432 5540 6648 8310 8864 11080 13296 16620 17728 22160 26592 33240 44320 53184 66480 88640 132960 265920 17422957 34845914 52268871 69691828 87114785 104537742 139383656 174229570 209075484 261344355 278767312 348459140 418150968 522688710 557534624 696918280 836301936 1045377420 1115069248 1393836560 1672603872 2090754840 2787673120 3345207744 4181509680 4826159089 5575346240 8363019360 9652318178 14478477267 16726038720 19304636356 24130795445 28956954534 38609272712 48261590890 57913909068 72392386335 77218545424 96523181780 115827818136 144784772670 154437090848 193046363560 231655636272 289569545340 308874181696 386092727120 463311272544 579139090680 772185454240 926622545088 1158278181360 1544370908480 2316556362720 4633112725440