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46191430912 = 2811831071847
BaseRepresentation
bin101011000001001110…
…010100110100000000
311102020011022211000111
4223001032110310000
51224100001242122
633115310401104
73223444453534
oct530116246400
9142204284014
1046191430912
11186539497a0
128b51500194
1344819c5153
1423429abbc4
151305334d77
hexac1394d00

46191430912 has 144 divisors (see below), whose sum is σ = 102803323392. Its totient is φ = 20538152960.

The previous prime is 46191430891. The next prime is 46191430913. The reversal of 46191430912 is 21903419164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46191430913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25007973 + ... + 25009819.

It is an arithmetic number, because the mean of its divisors is an integer number (713911968).

Almost surely, 246191430912 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 46191430912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51401661696).

46191430912 is an abundant number, since it is smaller than the sum of its proper divisors (56611892480).

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

46191430912 is a wasteful number, since it uses less digits than its factorization.

46191430912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2064 (or 2050 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The spelling of 46191430912 in words is "forty-six billion, one hundred ninety-one million, four hundred thirty thousand, nine hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 83 88 107 128 166 176 214 256 332 352 428 664 704 856 913 1177 1328 1408 1712 1826 1847 2354 2656 2816 3424 3652 3694 4708 5312 6848 7304 7388 8881 9416 10624 13696 14608 14776 17762 18832 20317 21248 27392 29216 29552 35524 37664 40634 58432 59104 71048 75328 81268 97691 116864 118208 142096 150656 153301 162536 195382 197629 233728 236416 284192 301312 306602 325072 390764 395258 472832 568384 613204 650144 781528 790516 1136768 1226408 1300288 1563056 1581032 1686311 2173919 2273536 2452816 2600576 3126112 3162064 3372622 4347838 4905632 5201152 6252224 6324128 6745244 8695676 9811264 12504448 12648256 13490488 16403207 17391352 19622528 25008896 25296512 26980976 32806414 34782704 39245056 50593024 53961952 65612828 69565408 107923904 131225656 139130816 180435277 215847808 262451312 278261632 360870554 431695616 524902624 556523264 721741108 1049805248 1443482216 2099610496 2886964432 4199220992 5773928864 11547857728 23095715456 46191430912