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54319340929784 = 23723227558133289
BaseRepresentation
bin11000101100111001101010…
…00001010100001011111000
321010022212201021011000200212
430112130311001110023320
524104432002234223114
6311305543303450252
714304304622512160
oct1426346501241370
9233285637130625
1054319340929784
1116342780941847
126113551456988
1324403a4316658
14d5b0da60d5a0
15642e86259b3e
hex3167350542f8

54319340929784 has 128 divisors (see below), whose sum is σ = 122019983539200. Its totient is φ = 22164822789120.

The previous prime is 54319340929757. The next prime is 54319340929873. The reversal of 54319340929784 is 48792904391345.

It is a super-2 number, since 2×543193409297842 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1631733812 + ... + 1631767100.

It is an arithmetic number, because the mean of its divisors is an integer number (953281121400).

Almost surely, 254319340929784 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 54319340929784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61009991769600).

54319340929784 is an abundant number, since it is smaller than the sum of its proper divisors (67700642609416).

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

54319340929784 is a wasteful number, since it uses less digits than its factorization.

54319340929784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39133 (or 39129 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 68.

The spelling of 54319340929784 in words is "fifty-four trillion, three hundred nineteen billion, three hundred forty million, nine hundred twenty-nine thousand, seven hundred eighty-four".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 227 322 454 644 908 1288 1589 1816 3178 5221 5581 6356 10442 11162 12712 20884 22324 33289 36547 39067 41768 44648 66578 73094 78134 128363 133156 146188 156268 233023 256726 266312 292376 312536 466046 513452 765647 898541 932092 1026904 1266887 1531294 1797082 1864184 2533774 3062588 3594164 5067548 5359529 6125176 7188328 7556603 8868209 10135096 10719058 15113206 17736418 21438116 29138401 30226412 35472836 42876232 52896221 58276802 60452824 70945672 105792442 116553604 173801869 185785909 203968807 211584884 233107208 347603738 371571818 407937614 423169768 695207476 743143636 815875228 1216613083 1300501363 1390414952 1486287272 1631750456 2433226166 2601002726 4273075907 4866452332 5202005452 8546151814 9732904664 10404010904 17092303628 29911531349 34184607256 42173401343 59823062698 84346802686 119646125396 168693605372 239292250792 295213809401 337387210744 590427618802 969988230889 1180855237604 1939976461778 2361710475208 3879952923556 6789917616223 7759905847112 13579835232446 27159670464892 54319340929784