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422375022936 = 23342343659063
BaseRepresentation
bin1100010010101111000…
…00110110000101011000
31111101020001010022020000
412021113200312011120
523410011001213221
6522011510333000
742341563313016
oct6112740660530
91441201108200
10422375022936
11153145764299
1269a3865a160
1330aa3097c99
141662ba858b6
15aec0e04e26
hex6257836158

422375022936 has 160 divisors (see below), whose sum is σ = 1263188424960. Its totient is φ = 131538230208.

The previous prime is 422375022919. The next prime is 422375022941. The reversal of 422375022936 is 639220573224.

422375022936 is a `hidden beast` number, since 4 + 22 + 37 + 502 + 2 + 93 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 422375022891 and 422375022900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 311341 + ... + 970403.

It is an arithmetic number, because the mean of its divisors is an integer number (7894927656).

Almost surely, 2422375022936 is an apocalyptic number.

422375022936 is a gapful number since it is divisible by the number (46) 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 422375022936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631594212480).

422375022936 is an abundant number, since it is smaller than the sum of its proper divisors (840813402024).

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

422375022936 is a wasteful number, since it uses less digits than its factorization.

422375022936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659147 (or 659134 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 422375022936 in words is "four hundred twenty-two billion, three hundred seventy-five million, twenty-two thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 43 46 54 69 72 81 86 92 108 129 138 162 172 184 207 216 258 276 324 344 387 414 516 552 621 648 774 828 989 1032 1161 1242 1548 1656 1863 1978 2322 2484 2967 3096 3483 3726 3956 4644 4968 5934 6966 7452 7912 8901 9288 11868 13932 14904 17802 23736 26703 27864 35604 53406 71208 80109 106812 160218 213624 320436 640872 659063 1318126 1977189 2636252 3954378 5272504 5931567 7908756 11863134 15158449 15817512 17794701 23726268 28339709 30316898 35589402 45475347 47452536 53384103 56679418 60633796 71178804 85019127 90950694 106768206 113358836 121267592 136426041 142357608 170038254 181901388 213536412 226717672 255057381 272852082 340076508 363802776 409278123 427072824 510114762 545704164 651813307 680153016 765172143 818556246 1020229524 1091408328 1227834369 1303626614 1530344286 1637112492 1955439921 2040459048 2295516429 2455668738 2607253228 3060688572 3274224984 3910879842 4591032858 4911337476 5214506456 5866319763 6121377144 7821759684 9182065716 9822674952 11732639526 15643519368 17598959289 18364131432 23465279052 35197918578 46930558104 52796877867 70395837156 105593755734 140791674312 211187511468 422375022936