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54070760351344 = 24111921437545257
BaseRepresentation
bin11000100101101010101000…
…11101101010011001110000
321002110010002020221020220111
430102311110131222121300
524041343404122220334
6310555433035151104
714250324563454532
oct1422652435523160
9232403066836814
1054070760351344
111625730a661a70
1260933382a5494
132422b0a346299
14d4d078527852
1563b787d70064
hex312d5476a670

54070760351344 has 80 divisors (see below), whose sum is σ = 120357126650880. Its totient is φ = 23273191226880.

The previous prime is 54070760351327. The next prime is 54070760351369. The reversal of 54070760351344 is 44315306707045.

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, 3393564 + ... + 10938820.

It is an arithmetic number, because the mean of its divisors is an integer number (1504464083136).

Almost surely, 254070760351344 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 54070760351344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60178563325440).

54070760351344 is an abundant number, since it is smaller than the sum of its proper divisors (66286366299536).

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

54070760351344 is a wasteful number, since it uses less digits than its factorization.

54070760351344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7547438 (or 7547432 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 49.

The spelling of 54070760351344 in words is "fifty-four trillion, seventy billion, seven hundred sixty million, three hundred fifty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 152 176 209 304 418 836 1672 2143 3344 4286 8572 17144 23573 34288 40717 47146 81434 94292 162868 188584 325736 377168 447887 651472 895774 1791548 3583096 7166192 7545257 15090514 30181028 60362056 82997827 120724112 143359883 165995654 286719766 331991308 573439532 663982616 1146879064 1327965232 1576958713 2293758128 3153917426 6307834852 12615669704 16169485751 25231339408 32338971502 64677943004 129355886008 177864343261 258711772016 307220229269 355728686522 614440458538 711457373044 1228880917076 1422914746088 2457761834152 2845829492176 3379422521959 4915523668304 6758845043918 13517690087836 27035380175672 54070760351344