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64120320312 = 23329613734049
BaseRepresentation
bin111011101101110111…
…100111000100111000
320010111122200202122020
4323231313213010320
52022304300222222
645242332554440
74426650505236
oct735567470470
9203448622566
1064120320312
1125214281764
1210515922a20
13607b288549
143163ba7956
151a0434365c
hexeedde7138

64120320312 has 128 divisors (see below), whose sum is σ = 169040520000. Its totient is φ = 20238704640.

The previous prime is 64120320289. The next prime is 64120320331. The reversal of 64120320312 is 21302302146.

It is a super-2 number, since 2×641203203122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 15834064 + ... + 15838112.

Almost surely, 264120320312 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 64120320312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84520260000).

64120320312 is an abundant number, since it is smaller than the sum of its proper divisors (104920199688).

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

64120320312 is a wasteful number, since it uses less digits than its factorization.

64120320312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4521 (or 4517 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 64120320312 its reverse (21302302146), we get a palindrome (85422622458).

The spelling of 64120320312 in words is "sixty-four billion, one hundred twenty million, three hundred twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 29 58 61 87 116 122 174 183 232 244 348 366 373 488 696 732 746 1119 1464 1492 1769 2238 2984 3538 4049 4476 5307 7076 8098 8952 10614 10817 12147 14152 16196 21228 21634 22753 24294 32392 32451 42456 43268 45506 48588 64902 68259 86536 91012 97176 117421 129804 136518 182024 234842 246989 259608 273036 352263 469684 493978 546072 659837 704526 740967 939368 987956 1319674 1409052 1481934 1510277 1975912 1979511 2639348 2818104 2963868 3020554 3959022 4530831 5278696 5927736 6041108 7162681 7918044 9061662 12082216 14325362 15836088 18123324 21488043 28650724 36246648 42976086 43798033 57301448 85952172 87596066 92126897 131394099 171904344 175192132 184253794 262788198 276380691 350384264 368507588 525576396 552761382 737015176 1051152792 1105522764 2211045528 2671680013 5343360026 8015040039 10686720052 16030080078 21373440104 32060160156 64120320312