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20938113378 = 23271324720921
BaseRepresentation
bin10011100000000000…
…100100000101100010
32000001012202100212200
4103200000210011202
5320340124112003
613341400234030
71340603012220
oct234000440542
960035670780
1020938113378
118975023536
12408416b916
131c88b57200
141028b23b10
158282c56a3
hex4e0024162

20938113378 has 144 divisors (see below), whose sum is σ = 57339000576. Its totient is φ = 5404389120.

The previous prime is 20938113293. The next prime is 20938113401. The reversal of 20938113378 is 87331183902.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 990358 + ... + 1011278.

It is an arithmetic number, because the mean of its divisors is an integer number (398187504).

Almost surely, 220938113378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20938113378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28669500288).

20938113378 is an abundant number, since it is smaller than the sum of its proper divisors (36400887198).

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

20938113378 is a wasteful number, since it uses less digits than its factorization.

20938113378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21009 (or 20993 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 20938113378 in words is "twenty billion, nine hundred thirty-eight million, one hundred thirteen thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 47 63 78 91 94 117 126 141 169 182 234 273 282 329 338 423 507 546 611 658 819 846 987 1014 1183 1222 1521 1638 1833 1974 2366 2961 3042 3549 3666 4277 5499 5922 7098 7943 8554 10647 10998 12831 15886 20921 21294 23829 25662 38493 41842 47658 55601 62763 71487 76986 111202 125526 142974 146447 166803 188289 271973 292894 333606 376578 439341 500409 543946 815919 878682 983287 1000818 1318023 1631838 1903811 1966574 2447757 2636046 2949861 3535649 3807622 4895514 5711433 5899722 6883009 7071298 8849583 10606947 11422866 12782731 13766018 17134299 17699166 20649027 21213894 24749543 25565462 31820841 34268598 38348193 41298054 49499086 61947081 63641682 74248629 76696386 89479117 115044579 123894162 148497258 166175503 178958234 222745887 230089158 268437351 332351006 445491774 498526509 536874702 805312053 997053018 1163228521 1495579527 1610624106 2326457042 2991159054 3489685563 6979371126 10469056689 20938113378