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61212187920 = 24351383236377
BaseRepresentation
bin111001000000100001…
…111101110100010000
312211222222112022222010
4321000201331310100
52000330310003140
644042005342520
74264616004162
oct710041756420
9184888468863
1061212187920
1123a61758864
12ba43a07a40
135a0692b050
142d69876932
1518d3d99880
hexe4087dd10

61212187920 has 160 divisors (see below), whose sum is σ = 206817512832. Its totient is φ = 14886014976.

The previous prime is 61212187903. The next prime is 61212187931. The reversal of 61212187920 is 2978121216.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140772 + ... + 377148.

Almost surely, 261212187920 is an apocalyptic number.

61212187920 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 61212187920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103408756416).

61212187920 is an abundant number, since it is smaller than the sum of its proper divisors (145605324912).

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

61212187920 is a wasteful number, since it uses less digits than its factorization.

61212187920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236489 (or 236483 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The spelling of 61212187920 in words is "sixty-one billion, two hundred twelve million, one hundred eighty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 83 104 120 130 156 166 195 208 240 249 260 312 332 390 415 498 520 624 664 780 830 996 1040 1079 1245 1328 1560 1660 1992 2158 2490 3120 3237 3320 3984 4316 4980 5395 6474 6640 8632 9960 10790 12948 16185 17264 19920 21580 25896 32370 43160 51792 64740 86320 129480 236377 258960 472754 709131 945508 1181885 1418262 1891016 2363770 2836524 3072901 3545655 3782032 4727540 5673048 6145802 7091310 9218703 9455080 11346096 12291604 14182620 15364505 18437406 18910160 19619291 24583208 28365240 30729010 36874812 39238582 46093515 49166416 56730480 58857873 61458020 73749624 78477164 92187030 98096455 117715746 122916040 147499248 156954328 184374060 196192910 235431492 245832080 255050783 294289365 313908656 368748120 392385820 470862984 510101566 588578730 737496240 765152349 784771640 941725968 1020203132 1177157460 1275253915 1530304698 1569543280 2040406264 2354314920 2550507830 3060609396 3825761745 4080812528 4708629840 5101015660 6121218792 7651523490 10202031320 12242437584 15303046980 20404062640 30606093960 61212187920