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38520660084 = 223231634491907
BaseRepresentation
bin100011111000000000…
…101010000001110100
310200102120102021122020
4203320000222001310
51112342242110314
625410211233140
72532402131304
oct437000520164
9120376367566
1038520660084
11153779aa075
1275705a87b0
13382b744cba
141c15d25604
151006bbdda9
hex8f802a074

38520660084 has 96 divisors (see below), whose sum is σ = 94624588800. Its totient is φ = 12173027328.

The previous prime is 38520660019. The next prime is 38520660119. The reversal of 38520660084 is 48006602583.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20198659 + ... + 20200565.

It is an arithmetic number, because the mean of its divisors is an integer number (985672800).

Almost surely, 238520660084 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 38520660084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47312294400).

38520660084 is an abundant number, since it is smaller than the sum of its proper divisors (56103928716).

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

38520660084 is a wasteful number, since it uses less digits than its factorization.

38520660084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2549 (or 2547 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 38520660084 in words is "thirty-eight billion, five hundred twenty million, six hundred sixty thousand, eighty-four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 163 276 326 449 489 652 898 978 1347 1796 1907 1956 2694 3749 3814 5388 5721 7498 7628 10327 11247 11442 14996 20654 22494 22884 30981 41308 43861 44988 61962 73187 87722 123924 131583 146374 175444 219561 263166 292748 310841 439122 526332 621682 856243 878244 932523 1243364 1683301 1712486 1865046 2568729 3366602 3424972 3730092 5049903 5137458 6733204 7149343 10099806 10274916 14298686 19693589 20199612 21448029 28597372 39387178 42896058 59080767 78774356 85792116 118161534 139567609 236323068 279135218 418702827 558270436 837405654 1674811308 3210055007 6420110014 9630165021 12840220028 19260330042 38520660084