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61368402720 = 2535937136447
BaseRepresentation
bin111001001001110101…
…111000001100100000
312212101212110212101110
4321021311320030200
52001140302341340
644105305503320
74301523550002
oct711165701440
9185355425343
1061368402720
11240319552a9
12ba881a1b40
135a300c4941
142d824dc372
1518e2955680
hexe49d78320

61368402720 has 96 divisors (see below), whose sum is σ = 193518194688. Its totient is φ = 16347322368.

The previous prime is 61368402701. The next prime is 61368402743. The reversal of 61368402720 is 2720486316.

It is a happy number.

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

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, 381537 + ... + 517983.

It is an arithmetic number, because the mean of its divisors is an integer number (2015814528).

Almost surely, 261368402720 is an apocalyptic number.

61368402720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61368402720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96759097344).

61368402720 is an abundant number, since it is smaller than the sum of its proper divisors (132149791968).

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

61368402720 is a wasteful number, since it uses less digits than its factorization.

61368402720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137402 (or 137394 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 61368402720 in words is "sixty-one billion, three hundred sixty-eight million, four hundred two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 937 1874 2811 3748 4685 5622 7496 9370 11244 14055 14992 18740 22488 28110 29984 37480 44976 56220 74960 89952 112440 136447 149920 224880 272894 409341 449760 545788 682235 818682 1091576 1364470 1637364 2046705 2183152 2728940 3274728 4093410 4366304 5457880 6549456 8186820 10915760 13098912 16373640 21831520 32747280 65494560 127850839 255701678 383552517 511403356 639254195 767105034 1022806712 1278508390 1534210068 1917762585 2045613424 2557016780 3068420136 3835525170 4091226848 5114033560 6136840272 7671050340 10228067120 12273680544 15342100680 20456134240 30684201360 61368402720