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61819770408 = 233114711034517
BaseRepresentation
bin111001100100101111…
…101101011000101000
312220120022210201110020
4321210233231120220
52003101330123113
644222152120440
74315644243534
oct714457553050
9186508721406
1061819770408
1124243715550
12bb93396120
135aa2780006
142dc6434bc4
15191c3b4023
hexe64bed628

61819770408 has 128 divisors (see below), whose sum is σ = 172380856320. Its totient is φ = 18314005760.

The previous prime is 61819770407. The next prime is 61819770431. The reversal of 61819770408 is 80407791816.

It is not an unprimeable number, because it can be changed into a prime (61819770401) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 13683766 + ... + 13688282.

It is an arithmetic number, because the mean of its divisors is an integer number (1346725440).

Almost surely, 261819770408 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 61819770408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86190428160).

61819770408 is an abundant number, since it is smaller than the sum of its proper divisors (110561085912).

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

61819770408 is a wasteful number, since it uses less digits than its factorization.

61819770408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5687 (or 5683 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 51.

The spelling of 61819770408 in words is "sixty-one billion, eight hundred nineteen million, seven hundred seventy thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 47 66 88 94 132 141 188 264 282 376 517 564 1034 1103 1128 1551 2068 2206 3102 3309 4136 4412 4517 6204 6618 8824 9034 12133 12408 13236 13551 18068 24266 26472 27102 36136 36399 48532 49687 51841 54204 72798 97064 99374 103682 108408 145596 149061 155523 198748 207364 212299 291192 298122 311046 397496 414728 424598 570251 596244 622092 636897 849196 1140502 1192488 1244184 1273794 1698392 1710753 2281004 2335289 2547588 3421506 4562008 4670578 4982251 5095176 6843012 7005867 9341156 9964502 13686024 14011734 14946753 18682312 19929004 28023468 29893506 39858008 54804761 56046936 59787012 109609522 119574024 164414283 219219044 234165797 328828566 438438088 468331594 657657132 702497391 936663188 1315314264 1404994782 1873326376 2575823767 2809989564 5151647534 5619979128 7727471301 10303295068 15454942602 20606590136 30909885204 61819770408