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481832291040 = 25351397221707
BaseRepresentation
bin1110000001011110111…
…00010100101011100000
31201001200201110110202220
413000233130110223200
530343243031303130
61005203430111040
746545152620002
oct7005734245340
91631621413686
10481832291040
111763868488a1
12794707ab480
133658a25ac29
141946c41c372
15c800b9d410
hex702f714ae0

481832291040 has 96 divisors (see below), whose sum is σ = 1528691149440. Its totient is φ = 127564214784.

The previous prime is 481832291029. The next prime is 481832291041. The reversal of 481832291040 is 40192238184.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 481832290983 and 481832291001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481832291041) 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, 3544134 + ... + 3677573.

It is an arithmetic number, because the mean of its divisors is an integer number (15923866140).

Almost surely, 2481832291040 is an apocalyptic number.

481832291040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

481832291040 is an abundant number, since it is smaller than the sum of its proper divisors (1046858858400).

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

481832291040 is a wasteful number, since it uses less digits than its factorization.

481832291040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7221864 (or 7221856 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 481832291040 in words is "four hundred eighty-one billion, eight hundred thirty-two million, two hundred ninety-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 139 160 240 278 417 480 556 695 834 1112 1390 1668 2085 2224 2780 3336 4170 4448 5560 6672 8340 11120 13344 16680 22240 33360 66720 7221707 14443414 21665121 28886828 36108535 43330242 57773656 72217070 86660484 108325605 115547312 144434140 173320968 216651210 231094624 288868280 346641936 433302420 577736560 693283872 866604840 1003817273 1155473120 1733209680 2007634546 3011451819 3466419360 4015269092 5019086365 6022903638 8030538184 10038172730 12045807276 15057259095 16061076368 20076345460 24091614552 30114518190 32122152736 40152690920 48183229104 60229036380 80305381840 96366458208 120458072760 160610763680 240916145520 481832291040