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1023617073136 = 247172392249431
BaseRepresentation
bin11101110010101000101…
…01001111111111110000
310121212010122010001021111
432321110111033333300
5113232331432320021
62102124310203104
7133645120363450
oct16712425177760
93555118101244
101023617073136
11365128174559
12146473353494
13756b0150728
1437786c83d60
151b95ed178e1
hexee5454fff0

1023617073136 has 80 divisors (see below), whose sum is σ = 2409951467520. Its totient is φ = 411159813120.

The previous prime is 1023617073091. The next prime is 1023617073169. The reversal of 1023617073136 is 6313707163201.

It is a super-2 number, since 2×10236170731362 (a number of 25 digits) contains 22 as substring.

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, 669660 + ... + 1579771.

It is an arithmetic number, because the mean of its divisors is an integer number (30124393344).

Almost surely, 21023617073136 is an apocalyptic number.

1023617073136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1023617073136 is an abundant number, since it is smaller than the sum of its proper divisors (1386334394384).

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

1023617073136 is a wasteful number, since it uses less digits than its factorization.

1023617073136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2249702 (or 2249696 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 40.

The spelling of 1023617073136 in words is "one trillion, twenty-three billion, six hundred seventeen million, seventy-three thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 239 272 476 478 952 956 1673 1904 1912 3346 3824 4063 6692 8126 13384 16252 26768 28441 32504 56882 65008 113764 227528 455056 2249431 4498862 8997724 15746017 17995448 31492034 35990896 38240327 62984068 76480654 125968136 152961308 251936272 267682289 305922616 535364578 537614009 611845232 1070729156 1075228018 2141458312 2150456036 3763298063 4282916624 4300912072 7526596126 8601824144 9139438153 15053192252 18278876306 30106384504 36557752612 60212769008 63976067071 73115505224 127952134142 146231010448 255904268284 511808536568 1023617073136