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38190877416 = 23321077336763
BaseRepresentation
bin100011100100010110…
…101000101011101000
310122120120212120212100
4203210112220223220
51111203331034131
625313351013400
72521256046636
oct434426505350
9118516776770
1038190877416
111521883350a
12749a06a260
1337a831a123
141bc41dc356
15ed7c7a7e6
hex8e45a8ae8

38190877416 has 96 divisors (see below), whose sum is σ = 104558182560. Its totient is φ = 12592250496.

The previous prime is 38190877393. The next prime is 38190877421. The reversal of 38190877416 is 61477809183.

38190877416 is a `hidden beast` number, since 38 + 190 + 8 + 7 + 7 + 416 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5643651 + ... + 5650413.

It is an arithmetic number, because the mean of its divisors is an integer number (1089147735).

Almost surely, 238190877416 is an apocalyptic number.

38190877416 is a gapful number since it is divisible by the number (36) 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 38190877416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52279091280).

38190877416 is an abundant number, since it is smaller than the sum of its proper divisors (66367305144).

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

38190877416 is a wasteful number, since it uses less digits than its factorization.

38190877416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7615 (or 7608 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 38190877416 in words is "thirty-eight billion, one hundred ninety million, eight hundred seventy-seven thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 107 214 321 428 642 733 856 963 1284 1466 1926 2199 2568 2932 3852 4398 5864 6597 6763 7704 8796 13194 13526 17592 20289 26388 27052 40578 52776 54104 60867 78431 81156 121734 156862 162312 235293 243468 313724 470586 486936 627448 705879 723641 941172 1411758 1447282 1882344 2170923 2823516 2894564 4341846 4957279 5647032 5789128 6512769 8683692 9914558 13025538 14871837 17367384 19829116 26051076 29743674 39658232 44615511 52102152 59487348 89231022 118974696 178462044 356924088 530428853 1060857706 1591286559 2121715412 3182573118 4243430824 4773859677 6365146236 9547719354 12730292472 19095438708 38190877416