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53505251440 = 2452359349037
BaseRepresentation
bin110001110101001010…
…010101100001110000
312010002212120101122021
4301311022111201300
51334034321021230
640325135121224
73602624063464
oct616512254160
9163085511567
1053505251440
1120767357373
12a452973214
1350790276c4
1428380984a4
1515d248cc7a
hexc75295870

53505251440 has 80 divisors (see below), whose sum is σ = 130029945408. Its totient is φ = 20436635648.

The previous prime is 53505251431. The next prime is 53505251467. The reversal of 53505251440 is 4415250535.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 53505251396 and 53505251405.

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, 1066602 + ... + 1115638.

Almost surely, 253505251440 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 53505251440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65014972704).

53505251440 is an abundant number, since it is smaller than the sum of its proper divisors (76524693968).

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

53505251440 is a wasteful number, since it uses less digits than its factorization.

53505251440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49666 (or 49660 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 34.

The spelling of 53505251440 in words is "fifty-three billion, five hundred five million, two hundred fifty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 593 920 1186 1840 2372 2965 4744 5930 9488 11860 13639 23720 27278 47440 49037 54556 68195 98074 109112 136390 196148 218224 245185 272780 392296 490370 545560 784592 980740 1091120 1127851 1961480 2255702 3922960 4511404 5639255 9022808 11278510 18045616 22557020 29078941 45114040 58157882 90228080 116315764 145394705 232631528 290789410 465263056 581578820 668815643 1163157640 1337631286 2326315280 2675262572 3344078215 5350525144 6688156430 10701050288 13376312860 26752625720 53505251440