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54342630046112 = 25371671283214213
BaseRepresentation
bin11000101101100101000010…
…01010001111100110100000
321010102002211022201201022212
430112302201022033212200
524110322201242433422
6311324354250221252
714306061013651412
oct1426624112174640
9233362738651285
1054342630046112
1116351641a51621
126117b70a24828
132442646262765
14d5c2a967a9b2
1564389ab289e2
hex316ca128f9a0

54342630046112 has 96 divisors (see below), whose sum is σ = 110623221700992. Its totient is φ = 26258045266944.

The previous prime is 54342630046073. The next prime is 54342630046147. The reversal of 54342630046112 is 21164003624345.

It is a super-2 number, since 2×543426300461122 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 54342630046112.

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, 253577918 + ... + 253792130.

It is an arithmetic number, because the mean of its divisors is an integer number (1152325226052).

Almost surely, 254342630046112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54342630046112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55311610850496).

54342630046112 is an abundant number, since it is smaller than the sum of its proper divisors (56280591654880).

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

54342630046112 is a wasteful number, since it uses less digits than its factorization.

54342630046112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215710 (or 215702 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 41.

The spelling of 54342630046112 in words is "fifty-four trillion, three hundred forty-two billion, six hundred thirty million, forty-six thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 37 74 148 167 296 334 592 668 1184 1283 1336 2566 2672 5132 5344 6179 10264 12358 20528 24716 41056 47471 49432 94942 98864 189884 197728 214213 214261 379768 428426 428522 759536 856852 857044 1519072 1713704 1714088 3427408 3428176 6854816 6856352 7925881 7927657 15851762 15855314 31703524 31710628 35773571 63407048 63421256 71547142 126814096 126842512 143094284 253628192 253685024 274835279 286188568 549670558 572377136 1099341116 1144754272 1323622127 2198682232 2647244254 4397364464 5294488508 8794728928 10168905323 10588977016 20337810646 21177954032 40675621292 42355908064 45897491593 81351242584 91794983186 162702485168 183589966372 325404970336 367179932744 734359865488 1468719730976 1698207188941 3396414377882 6792828755764 13585657511528 27171315023056 54342630046112