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61100506112 = 210237932839
BaseRepresentation
bin111000111001110111…
…111011110000000000
312211201012101022022212
4320321313323300000
52000113212143422
644022535521252
74262061506222
oct707167736000
9184635338285
1061100506112
1123a04708648
12ba12529228
1359b9757339
142d58ac4412
1518c91889e2
hexe39dfbc00

61100506112 has 88 divisors (see below), whose sum is σ = 129069081600. Its totient is φ = 28851204096.

The previous prime is 61100506013. The next prime is 61100506121. The reversal of 61100506112 is 21160500116.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1844189 + ... + 1877027.

Almost surely, 261100506112 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 61100506112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64534540800).

61100506112 is an abundant number, since it is smaller than the sum of its proper divisors (67968575488).

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

61100506112 is a wasteful number, since it uses less digits than its factorization.

61100506112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32961 (or 32943 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 23.

The spelling of 61100506112 in words is "sixty-one billion, one hundred million, five hundred six thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 64 79 92 128 158 184 256 316 368 512 632 736 1024 1264 1472 1817 2528 2944 3634 5056 5888 7268 10112 11776 14536 20224 23552 29072 32839 40448 58144 65678 80896 116288 131356 232576 262712 465152 525424 755297 930304 1050848 1510594 1860608 2101696 2594281 3021188 4203392 5188562 6042376 8406784 10377124 12084752 16813568 20754248 24169504 33627136 41508496 48339008 59668463 83016992 96678016 119336926 166033984 193356032 238673852 332067968 386712064 477347704 664135936 773424128 954695408 1328271872 1909390816 2656543744 3818781632 7637563264 15275126528 30550253056 61100506112