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20134517166 = 2342814011103
BaseRepresentation
bin10010110000000111…
…000101100110101110
31220222012122110010000
4102300013011212232
5312213414022131
613125532325130
71311644400141
oct226007054656
956865573100
1020134517166
1185a2456835
123a9b0137a6
131b8b5154aa
14d90100058
157cc98cce6
hex4b01c59ae

20134517166 has 80 divisors (see below), whose sum is σ = 45430849728. Its totient is φ = 6664896000.

The previous prime is 20134517153. The next prime is 20134517191. The reversal of 20134517166 is 66171543102.

20134517166 is a `hidden beast` number, since 2 + 0 + 134 + 517 + 1 + 6 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20134517166.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18253771 + ... + 18254873.

Almost surely, 220134517166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20134517166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22715424864).

20134517166 is an abundant number, since it is smaller than the sum of its proper divisors (25296332562).

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

20134517166 is a wasteful number, since it uses less digits than its factorization.

20134517166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 20134517166 in words is "twenty billion, one hundred thirty-four million, five hundred seventeen thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 281 401 562 802 843 1103 1203 1686 2206 2406 2529 3309 3609 5058 6618 7218 7587 9927 10827 15174 19854 21654 22761 29781 32481 45522 59562 64962 89343 112681 178686 225362 309943 338043 442303 619886 676086 884606 929829 1014129 1326909 1859658 2028258 2653818 2789487 3042387 3980727 5578974 6084774 7961454 8368461 9127161 11942181 16736922 18254322 23884362 25105383 35826543 50210766 71653086 124287143 248574286 372861429 745722858 1118584287 2237168574 3355752861 6711505722 10067258583 20134517166