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50705229432 = 233111373202387
BaseRepresentation
bin101111001110010001…
…000110011001111000
311211212201211112112110
4233032101012121320
51312321014320212
635143233012320
73443344224144
oct571621063170
9154781745473
1050705229432
111a55a8643a0
1299b10b40a0
134a20bc0450
14265026a224
1514bb74ba3c
hexbce446678

50705229432 has 128 divisors (see below), whose sum is σ = 150965256960. Its totient is φ = 13988920320.

The previous prime is 50705229403. The next prime is 50705229451. The reversal of 50705229432 is 23492250705.

50705229432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 149343 + ... + 351729.

It is an arithmetic number, because the mean of its divisors is an integer number (1179416070).

Almost surely, 250705229432 is an apocalyptic number.

50705229432 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50705229432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75482628480).

50705229432 is an abundant number, since it is smaller than the sum of its proper divisors (100260027528).

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

50705229432 is a wasteful number, since it uses less digits than its factorization.

50705229432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202493 (or 202489 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The spelling of 50705229432 in words is "fifty billion, seven hundred five million, two hundred twenty-nine thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 73 78 88 104 132 143 146 156 219 264 286 292 312 429 438 572 584 803 858 876 949 1144 1606 1716 1752 1898 2409 2847 3212 3432 3796 4818 5694 6424 7592 9636 10439 11388 19272 20878 22776 31317 41756 62634 83512 125268 202387 250536 404774 607161 809548 1214322 1619096 2226257 2428644 2631031 4452514 4857288 5262062 6678771 7893093 8905028 10524124 13357542 14774251 15786186 17810056 21048248 26715084 28941341 29548502 31572372 44322753 53430168 57882682 59097004 63144744 86824023 88645506 115765364 118194008 162516761 173648046 177291012 192065263 231530728 325033522 347296092 354582024 384130526 487550283 576195789 650067044 694592184 768261052 975100566 1152391578 1300134088 1536522104 1950201132 2112717893 2304783156 3900402264 4225435786 4609566312 6338153679 8450871572 12676307358 16901743144 25352614716 50705229432