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46401325040 = 2457494316763
BaseRepresentation
bin101011001101101111…
…000000011111110000
311102202210021112122002
4223031233000133300
51230012214400130
633152205233132
73231603520010
oct531557003760
9142683245562
1046401325040
111875137a314
128bab8627a8
1344b6334a65
142362807c40
151318995b45
hexacdbc07f0

46401325040 has 80 divisors (see below), whose sum is σ = 123327249408. Its totient is φ = 15904858368.

The previous prime is 46401325031. The next prime is 46401325063. The reversal of 46401325040 is 4052310464.

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 = 46401324994 and 46401325012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2759699 + ... + 2776461.

Almost surely, 246401325040 is an apocalyptic number.

46401325040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46401325040 is an abundant number, since it is smaller than the sum of its proper divisors (76925924368).

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

46401325040 is a wasteful number, since it uses less digits than its factorization.

46401325040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21726 (or 21720 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The spelling of 46401325040 in words is "forty-six billion, four hundred one million, three hundred twenty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 4943 9886 16763 19772 24715 33526 34601 39544 49430 67052 69202 79088 83815 98860 117341 134104 138404 167630 173005 197720 234682 268208 276808 335260 346010 395440 469364 553616 586705 670520 692020 938728 1173410 1341040 1384040 1877456 2346820 2768080 4693640 9387280 82859509 165719018 331438036 414297545 580016563 662876072 828595090 1160033126 1325752144 1657190180 2320066252 2900082815 3314380360 4640132504 5800165630 6628760720 9280265008 11600331260 23200662520 46401325040