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38618677480 = 2353729389057
BaseRepresentation
bin100011111101110110…
…100100000011101000
310200200101212002020011
4203331312210003220
51113042340134410
625424032141304
72535002225305
oct437566440350
9120611762204
1038618677480
1115418266a89
127599397834
133845b43266
141c24d5c0ac
1510105d118a
hex8fdda40e8

38618677480 has 64 divisors (see below), whose sum is σ = 89546037840. Its totient is φ = 14978506752.

The previous prime is 38618677469. The next prime is 38618677499. The reversal of 38618677480 is 8477681683.

38618677480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 26619227716 + 11999449764 = 163154^2 + 109542^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 389112 + ... + 478168.

Almost surely, 238618677480 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 38618677480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44773018920).

38618677480 is an abundant number, since it is smaller than the sum of its proper divisors (50927360360).

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

38618677480 is a wasteful number, since it uses less digits than its factorization.

38618677480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89398 (or 89394 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 58.

The spelling of 38618677480 in words is "thirty-eight billion, six hundred eighteen million, six hundred seventy-seven thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 293 296 370 586 740 1172 1465 1480 2344 2930 5860 10841 11720 21682 43364 54205 86728 89057 108410 178114 216820 356228 433640 445285 712456 890570 1781140 3295109 3562280 6590218 13180436 16475545 26093701 26360872 32951090 52187402 65902180 104374804 130468505 131804360 208749608 260937010 521874020 965466937 1043748040 1930933874 3861867748 4827334685 7723735496 9654669370 19309338740 38618677480