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1023116169152 = 26711316697189
BaseRepresentation
bin11101110001101100111…
…10011100111111000000
310121210211201120111012002
432320312132130333000
5113230320214403102
62102002454123132
7133626525643130
oct16706636347700
93553751514162
101023116169152
113649a044aa20
121463536504a8
137563044003c
143773a534ac0
151b930d71902
hexee3679cfc0

1023116169152 has 112 divisors (see below), whose sum is σ = 2612868495360. Its totient is φ = 385758028800.

The previous prime is 1023116169149. The next prime is 1023116169221. The reversal of 1023116169152 is 2519616113201.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3195827 + ... + 3501362.

Almost surely, 21023116169152 is an apocalyptic number.

It is an amenable number.

1023116169152 is an abundant number, since it is smaller than the sum of its proper divisors (1589752326208).

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

1023116169152 is a wasteful number, since it uses less digits than its factorization.

1023116169152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6697250 (or 6697240 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 38.

The spelling of 1023116169152 in words is "one trillion, twenty-three billion, one hundred sixteen million, one hundred sixty-nine thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 32 44 56 62 64 77 88 112 124 154 176 217 224 248 308 341 352 434 448 496 616 682 704 868 992 1232 1364 1736 1984 2387 2464 2728 3472 4774 4928 5456 6944 9548 10912 13888 19096 21824 38192 76384 152768 6697189 13394378 26788756 46880323 53577512 73669079 93760646 107155024 147338158 187521292 207612859 214310048 294676316 375042584 415225718 428620096 515683553 589352632 750085168 830451436 1031367106 1178705264 1453290013 1500170336 1660902872 2062734212 2283741449 2357410528 2906580026 3000340672 3321805744 4125468424 4567482898 4714821056 5813160052 6643611488 8250936848 9134965796 11626320104 13287222976 15986190143 16501873696 18269931592 23252640208 31972380286 33003747392 36539863184 46505280416 63944760572 73079726368 93010560832 127889521144 146159452736 255779042288 511558084576 1023116169152