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201564917144 = 231761173140443
BaseRepresentation
bin1011101110111000110…
…1001000110110011000
3201021021101221201020122
42323232031020312120
511300301104322034
6232333031412412
720363652345443
oct2735615106630
9637241851218
10201564917144
1178535160658
1233093824108
13160135c0556
149a81c8265a
15539aa4362e
hex2eee348d98

201564917144 has 64 divisors (see below), whose sum is σ = 409079665440. Its totient is φ = 92759132160.

The previous prime is 201564917111. The next prime is 201564917167. The reversal of 201564917144 is 441719465102.

It is a super-4 number, since 4×2015649171444 (a number of 46 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 201564917095 and 201564917104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1364987 + ... + 1505429.

Almost surely, 2201564917144 is an apocalyptic number.

It is an amenable number.

201564917144 is an abundant number, since it is smaller than the sum of its proper divisors (207514748296).

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

201564917144 is a wasteful number, since it uses less digits than its factorization.

201564917144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140700 (or 140696 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The spelling of 201564917144 in words is "two hundred one billion, five hundred sixty-four million, nine hundred seventeen thousand, one hundred forty-four".

Divisors: 1 2 4 8 17 34 61 68 122 136 173 244 346 488 692 1037 1384 2074 2941 4148 5882 8296 10553 11764 21106 23528 42212 84424 140443 179401 280886 358802 561772 717604 1123544 1435208 2387531 4775062 8567023 9550124 17134046 19100248 24296639 34268092 48593278 68536184 97186556 145639391 194373112 291278782 413042863 582557564 826085726 1165115128 1482094979 1652171452 2964189958 3304342904 5928379916 11856759832 25195614643 50391229286 100782458572 201564917144