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1638020136450 = 235212786279967
BaseRepresentation
bin10111110101100001100…
…110111011111000000010
312210121000102212112021010
4113311201212323320002
5203314131123331300
63252255052141350
7226225444300635
oct27654146737002
95717012775233
101638020136450
11581753733765
12225561767856
13bb606a617b9
14593cdd61c1c
152c91e384a50
hex17d619bbe02

1638020136450 has 96 divisors (see below), whose sum is σ = 4095161892864. Its totient is φ = 433272248640.

The previous prime is 1638020136443. The next prime is 1638020136479. The reversal of 1638020136450 is 546310208361.

It is a super-3 number, since 3×16380201364503 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1638020136399 and 1638020136408.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164339367 + ... + 164349333.

It is an arithmetic number, because the mean of its divisors is an integer number (42657936384).

Almost surely, 21638020136450 is an apocalyptic number.

1638020136450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1638020136450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2047580946432).

1638020136450 is an abundant number, since it is smaller than the sum of its proper divisors (2457141756414).

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

1638020136450 is a wasteful number, since it uses less digits than its factorization.

1638020136450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18736 (or 18731 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 1638020136450 in words is "one trillion, six hundred thirty-eight billion, twenty million, one hundred thirty-six thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 127 150 254 381 635 762 1270 1905 3175 3810 6350 8627 9525 9967 17254 19050 19934 25881 29901 43135 49835 51762 59802 86270 99670 129405 149505 215675 249175 258810 299010 431350 498350 647025 747525 1095629 1265809 1294050 1495050 2191258 2531618 3286887 3797427 5478145 6329045 6573774 7594854 10956290 12658090 16434435 18987135 27390725 31645225 32868870 37974270 54781450 63290450 82172175 85985309 94935675 164344350 171970618 189871350 257955927 429926545 515911854 859853090 1289779635 2149632725 2579559270 4299265450 6448898175 10920134243 12897796350 21840268486 32760402729 54600671215 65520805458 109201342430 163802013645 273003356075 327604027290 546006712150 819010068225 1638020136450