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61218793920 = 2635238926693
BaseRepresentation
bin111001000000111011…
…001010100111000000
312212000102221221200210
4321000323022213000
52000334002401140
644042403114120
74265026106514
oct710073124700
9185012857623
1061218793920
1123a6545aa69
12ba46072940
135a08101b1b
142d6a6b6144
1518d4751d80
hexe40eca9c0

61218793920 has 112 divisors (see below), whose sum is σ = 194458315680. Its totient is φ = 16317566976.

The previous prime is 61218793873. The next prime is 61218793967. The reversal of 61218793920 is 2939781216.

It is an interprime number because it is at equal distance from previous prime (61218793873) and next prime (61218793967).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 61218793920.

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, 2280094 + ... + 2306786.

Almost surely, 261218793920 is an apocalyptic number.

61218793920 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 61218793920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97229157840).

61218793920 is an abundant number, since it is smaller than the sum of its proper divisors (133239521760).

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

61218793920 is a wasteful number, since it uses less digits than its factorization.

61218793920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29102 (or 29092 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The spelling of 61218793920 in words is "sixty-one billion, two hundred eighteen million, seven hundred ninety-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 2389 4778 7167 9556 11945 14334 19112 23890 26693 28668 35835 38224 47780 53386 57336 71670 76448 80079 95560 106772 114672 133465 143340 152896 160158 191120 213544 229344 266930 286680 320316 382240 400395 427088 458688 533860 573360 640632 764480 800790 854176 1067720 1146720 1281264 1601580 1708352 2135440 2293440 2562528 3203160 4270880 5125056 6406320 8541760 12812640 25625280 63769577 127539154 191308731 255078308 318847885 382617462 510156616 637695770 765234924 956543655 1020313232 1275391540 1530469848 1913087310 2040626464 2550783080 3060939696 3826174620 4081252928 5101566160 6121879392 7652349240 10203132320 12243758784 15304698480 20406264640 30609396960 61218793920