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61098106320 = 24325587144563
BaseRepresentation
bin111000111001101110…
…110001110111010000
312211201000212101102200
4320321232301313100
52000112103400240
644022412243200
74262032222566
oct707156616720
9184630771380
1061098106320
1123a03319649
12ba11770500
1359b90c6c44
142d5865ba36
1518c8d62930
hexe39bb1dd0

61098106320 has 120 divisors (see below), whose sum is σ = 205538782176. Its totient is φ = 16264959744.

The previous prime is 61098106319. The next prime is 61098106343. The reversal of 61098106320 is 2360189016.

61098106320 is a `hidden beast` number, since 6 + 1 + 0 + 9 + 8 + 10 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 350359 + ... + 494921.

Almost surely, 261098106320 is an apocalyptic number.

61098106320 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 61098106320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102769391088).

61098106320 is an abundant number, since it is smaller than the sum of its proper divisors (144440675856).

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

61098106320 is a wasteful number, since it uses less digits than its factorization.

61098106320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145169 (or 145160 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 61098106320 in words is "sixty-one billion, ninety-eight million, one hundred six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 587 720 1174 1761 2348 2935 3522 4696 5283 5870 7044 8805 9392 10566 11740 14088 17610 21132 23480 26415 28176 35220 42264 46960 52830 70440 84528 105660 140880 144563 211320 289126 422640 433689 578252 722815 867378 1156504 1301067 1445630 1734756 2168445 2313008 2602134 2891260 3469512 4336890 5204268 5782520 6505335 6939024 8673780 10408536 11565040 13010670 17347560 20817072 26021340 34695120 52042680 84858481 104085360 169716962 254575443 339433924 424292405 509150886 678867848 763726329 848584810 1018301772 1272877215 1357735696 1527452658 1697169620 2036603544 2545754430 3054905316 3394339240 3818631645 4073207088 5091508860 6109810632 6788678480 7637263290 10183017720 12219621264 15274526580 20366035440 30549053160 61098106320