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1514050164 = 2233112355411
BaseRepresentation
bin101101000111110…
…1001001001110100
310220111221201101000
41122033221021310
511100044101124
6410123203300
752343133264
oct13217511164
93814851330
101514050164
11707707330
12363076530
131b18a1493
1410511d7a4
158cdc26c9
hex5a3e9274

1514050164 has 96 divisors (see below), whose sum is σ = 4468423680. Its totient is φ = 438847200.

The previous prime is 1514050163. The next prime is 1514050177. The reversal of 1514050164 is 4610504151.

1514050164 is a `hidden beast` number, since 15 + 140 + 501 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1514050163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 382 + ... + 55029.

It is an arithmetic number, because the mean of its divisors is an integer number (46546080).

Almost surely, 21514050164 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 1514050164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2234211840).

1514050164 is an abundant number, since it is smaller than the sum of its proper divisors (2954373516).

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

1514050164 is a wasteful number, since it uses less digits than its factorization.

1514050164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55458 (or 55450 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1514050164 is about 38910.7975245946. The cubic root of 1514050164 is about 1148.2772349821.

The spelling of 1514050164 in words is "one billion, five hundred fourteen million, fifty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 27 33 36 44 46 54 66 69 92 99 108 132 138 198 207 253 276 297 396 414 506 594 621 759 828 1012 1188 1242 1518 2277 2484 3036 4554 6831 9108 13662 27324 55411 110822 166233 221644 332466 498699 609521 664932 997398 1219042 1274453 1496097 1828563 1994796 2438084 2548906 2992194 3657126 3823359 5097812 5485689 5984388 7314252 7646718 10971378 11470077 14018983 15293436 16457067 21942756 22940154 28037966 32914134 34410231 42056949 45880308 56075932 65828268 68820462 84113898 126170847 137640924 168227796 252341694 378512541 504683388 757025082 1514050164