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38504336364 = 223313148718443
BaseRepresentation
bin100011110111000010…
…011000101111101100
310200101102200221201000
4203313002120233230
51112324102230424
625404425320300
72532113313264
oct436702305754
9120342627630
1038504336364
111536976a89a
127567036090
13382824acb0
141c13ab67a4
1510055473c9
hex8f7098bec

38504336364 has 96 divisors (see below), whose sum is σ = 107583114240. Its totient is φ = 11838878784.

The previous prime is 38504336327. The next prime is 38504336401. The reversal of 38504336364 is 46363340583.

38504336364 is a `hidden beast` number, since 3 + 8 + 5 + 0 + 4 + 3 + 3 + 636 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (38504336327) and next prime (38504336401).

It is an unprimeable number.

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, 2078527 + ... + 2096969.

It is an arithmetic number, because the mean of its divisors is an integer number (1120657440).

Almost surely, 238504336364 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 38504336364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53791557120).

38504336364 is an abundant number, since it is smaller than the sum of its proper divisors (69078777876).

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

38504336364 is a wasteful number, since it uses less digits than its factorization.

38504336364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19956 (or 19948 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

It can be divided in two parts, 38504336 and 364, that added together give a triangular number (38504700 = T8775).

The spelling of 38504336364 in words is "thirty-eight billion, five hundred four million, three hundred thirty-six thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 1487 2974 4461 5948 8922 13383 17844 18443 19331 26766 36886 38662 40149 53532 55329 57993 73772 77324 80298 110658 115986 160596 165987 173979 221316 231972 239759 331974 347958 479518 497961 521937 663948 695916 719277 959036 995922 1043874 1438554 1991844 2087748 2157831 2877108 4315662 6473493 8631324 12946986 25893972 27424741 54849482 82274223 109698964 164548446 246822669 329096892 356521633 493645338 713043266 740468007 987290676 1069564899 1426086532 1480936014 2139129798 2961872028 3208694697 4278259596 6417389394 9626084091 12834778788 19252168182 38504336364