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9142692048 = 243372431911
BaseRepresentation
bin10001000001111001…
…00110100011010000
3212121011120212201000
420200330212203100
5122211012121143
64111115342000
7442364412600
oct104074464320
925534525630
109142692048
1139718a1946
121931a51900
13b291c0a69
1462a35ac00
153879b5bd3
hex220f268d0

9142692048 has 120 divisors (see below), whose sum is σ = 30527540160. Its totient is φ = 2612191680.

The previous prime is 9142691993. The next prime is 9142692059. The reversal of 9142692048 is 8402962419.

It is a junction number, because it is equal to n+sod(n) for n = 9142691994 and 9142692012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194788 + ... + 237123.

It is an arithmetic number, because the mean of its divisors is an integer number (254396168).

Almost surely, 29142692048 is an apocalyptic number.

9142692048 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

9142692048 is an abundant number, since it is smaller than the sum of its proper divisors (21384848112).

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

9142692048 is a wasteful number, since it uses less digits than its factorization.

9142692048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431942 (or 431923 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 9142692048 is about 95617.4254411820. The cubic root of 9142692048 is about 2091.0192481282.

It can be divided in two parts, 914 and 2692048, that added together give a palindrome (2692962).

The spelling of 9142692048 in words is "nine billion, one hundred forty-two million, six hundred ninety-two thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 378 392 432 441 504 588 756 784 882 1008 1176 1323 1512 1764 2352 2646 3024 3528 5292 7056 10584 21168 431911 863822 1295733 1727644 2591466 3023377 3455288 3887199 5182932 6046754 6910576 7774398 9070131 10365864 11661597 12093508 15548796 18140262 20731728 21163639 23323194 24187016 27210393 31097592 36280524 42327278 46646388 48374032 54420786 62195184 63490917 72561048 81631179 84654556 93292776 108841572 126981834 145122096 163262358 169309112 186585552 190472751 217683144 253963668 326524716 338618224 380945502 435366288 507927336 571418253 653049432 761891004 1015854672 1142836506 1306098864 1523782008 2285673012 3047564016 4571346024 9142692048