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61108132820 = 22572326970549
BaseRepresentation
bin111000111010010101…
…000001101111010100
312211201201201210012112
4320322111001233110
52000122140222240
644023411210152
74262213362430
oct707225015724
9184651653175
1061108132820
1123a08a47709
12ba14ba6958
1359bb1c7897
142d59b0b9c0
1518c9b93665
hexe3a541bd4

61108132820 has 96 divisors (see below), whose sum is σ = 153607104000. Its totient is φ = 19965648384.

The previous prime is 61108132793. The next prime is 61108132859. The reversal of 61108132820 is 2823180116.

61108132820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×611081328202 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 830906 + ... + 901454.

It is an arithmetic number, because the mean of its divisors is an integer number (1600074000).

Almost surely, 261108132820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61108132820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76803552000).

61108132820 is an abundant number, since it is smaller than the sum of its proper divisors (92498971180).

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

61108132820 is a wasteful number, since it uses less digits than its factorization.

61108132820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70857 (or 70855 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The spelling of 61108132820 in words is "sixty-one billion, one hundred eight million, one hundred thirty-two thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 269 322 460 538 644 805 1076 1345 1610 1883 2690 3220 3766 5380 6187 7532 9415 12374 18830 24748 30935 37660 43309 61870 70549 86618 123740 141098 173236 216545 282196 352745 433090 493843 705490 866180 987686 1410980 1622627 1975372 2469215 3245254 4938430 6490508 8113135 9876860 11358389 16226270 18977681 22716778 32452540 37955362 45433556 56791945 75910724 94888405 113583890 132843767 189776810 227167780 265687534 379553620 436486663 531375068 664218835 872973326 1328437670 1745946652 2182433315 2656875340 3055406641 4364866630 6110813282 8729733260 12221626564 15277033205 30554066410 61108132820