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610540085472 = 25344471430131
BaseRepresentation
bin10001110001001110000…
…01100110000011100000
32011100220120212212121020
420320213001212003200
540000341230213342
61144251144525440
762052516046122
oct10704701460340
92140816785536
10610540085472
11215a23a63839
129a3b0780880
134575c4c6485
142179c035212
1510d353610ec
hex8e270660e0

610540085472 has 48 divisors (see below), whose sum is σ = 1603029238272. Its totient is φ = 203467455360.

The previous prime is 610540085459. The next prime is 610540085479. The reversal of 610540085472 is 274580045016.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (610540085479) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 288154 + ... + 1141977.

It is an arithmetic number, because the mean of its divisors is an integer number (33396442464).

Almost surely, 2610540085472 is an apocalyptic number.

It is an amenable number.

610540085472 is an abundant number, since it is smaller than the sum of its proper divisors (992489152800).

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

610540085472 is a wasteful number, since it uses less digits than its factorization.

610540085472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434591 (or 1434583 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The spelling of 610540085472 in words is "six hundred ten billion, five hundred forty million, eighty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 4447 8894 13341 17788 26682 35576 53364 71152 106728 142304 213456 426912 1430131 2860262 4290393 5720524 8580786 11441048 17161572 22882096 34323144 45764192 68646288 137292576 6359792557 12719585114 19079377671 25439170228 38158755342 50878340456 76317510684 101756680912 152635021368 203513361824 305270042736 610540085472