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46920874728 = 23372132236087
BaseRepresentation
bin101011101100101100…
…111011101011101000
311111002222220101211010
4223230230323223220
51232043220442403
633315525103520
73250512566100
oct535454735350
9144088811733
1046920874728
1118998679722
129115857ba0
134569b73300
1423b180c200
1513493c1603
hexaecb3bae8

46920874728 has 144 divisors (see below), whose sum is σ = 147758035680. Its totient is φ = 12374683776.

The previous prime is 46920874711. The next prime is 46920874753. The reversal of 46920874728 is 82747802964.

It is a happy number.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 80701 + ... + 316787.

It is an arithmetic number, because the mean of its divisors is an integer number (1026097470).

Almost surely, 246920874728 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 46920874728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73879017840).

46920874728 is an abundant number, since it is smaller than the sum of its proper divisors (100837160952).

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

46920874728 is a wasteful number, since it uses less digits than its factorization.

46920874728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236136 (or 236112 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 57.

The spelling of 46920874728 in words is "forty-six billion, nine hundred twenty million, eight hundred seventy-four thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 49 52 56 78 84 91 98 104 147 156 168 169 182 196 273 294 312 338 364 392 507 546 588 637 676 728 1014 1092 1176 1183 1274 1352 1911 2028 2184 2366 2548 3549 3822 4056 4732 5096 7098 7644 8281 9464 14196 15288 16562 24843 28392 33124 49686 66248 99372 198744 236087 472174 708261 944348 1416522 1652609 1888696 2833044 3069131 3305218 4957827 5666088 6138262 6610436 9207393 9915654 11568263 12276524 13220872 18414786 19831308 21483917 23136526 24553048 34704789 36829572 39662616 39898703 42967834 46273052 64451751 69409578 73659144 79797406 85935668 92546104 119696109 128903502 138819156 150387419 159594812 171871336 239392218 257807004 277638312 279290921 300774838 319189624 451162257 478784436 515614008 558581842 601549676 837872763 902324514 957568872 1117163684 1203099352 1675745526 1804649028 1955036447 2234327368 3351491052 3609298056 3910072894 5865109341 6702982104 7820145788 11730218682 15640291576 23460437364 46920874728