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192612048096 = 25313672303531
BaseRepresentation
bin1011001101100010010…
…0101001110011100000
3200102011110112211202010
42303120210221303200
511123432141014341
6224252412352520
716626051252426
oct2633044516340
9612143484663
10192612048096
1174760530626
12313b5475740
13152178327c0
149472c19116
155024a76716
hex2cd8929ce0

192612048096 has 96 divisors (see below), whose sum is σ = 552626540928. Its totient is φ = 58380664320.

The previous prime is 192612048091. The next prime is 192612048107. The reversal of 192612048096 is 690840216291.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (192612048091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1068150 + ... + 1235381.

It is an arithmetic number, because the mean of its divisors is an integer number (5756526468).

Almost surely, 2192612048096 is an apocalyptic number.

192612048096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

192612048096 is an abundant number, since it is smaller than the sum of its proper divisors (360014492832).

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

192612048096 is a wasteful number, since it uses less digits than its factorization.

192612048096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303624 (or 2303616 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The spelling of 192612048096 in words is "one hundred ninety-two billion, six hundred twelve million, forty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 67 78 96 104 134 156 201 208 268 312 402 416 536 624 804 871 1072 1248 1608 1742 2144 2613 3216 3484 5226 6432 6968 10452 13936 20904 27872 41808 83616 2303531 4607062 6910593 9214124 13821186 18428248 27642372 29945903 36856496 55284744 59891806 73712992 89837709 110569488 119783612 154336577 179675418 221138976 239567224 308673154 359350836 463009731 479134448 617346308 718701672 926019462 958268896 1234692616 1437403344 1852038924 2006375501 2469385232 2874806688 3704077848 4012751002 4938770464 6019126503 7408155696 8025502004 12038253006 14816311392 16051004008 24076506012 32102008016 48153012024 64204016032 96306024048 192612048096