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46353653340 = 22353124921319
BaseRepresentation
bin101011001010111001…
…001001111001011100
311102122110120120100120
4223022321021321130
51224413013401330
633143343354540
73230454360321
oct531271117134
9142573516316
1046353653340
1118727479915
128b978b2a50
1344a94b3357
14235a358b48
1513146cac10
hexacae49e5c

46353653340 has 48 divisors (see below), whose sum is σ = 133977016320. Its totient is φ = 11962232640.

The previous prime is 46353653299. The next prime is 46353653341. The reversal of 46353653340 is 4335635364.

It is a happy number.

It is a super-2 number, since 2×463536533402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 46353653292 and 46353653301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46353653341) by changing a digit.

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, 12458800 + ... + 12462519.

It is an arithmetic number, because the mean of its divisors is an integer number (2791187840).

Almost surely, 246353653340 is an apocalyptic number.

It is an amenable number.

46353653340 is an abundant number, since it is smaller than the sum of its proper divisors (87623362980).

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

46353653340 is a wasteful number, since it uses less digits than its factorization.

46353653340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24921362 (or 24921360 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 42.

The spelling of 46353653340 in words is "forty-six billion, three hundred fifty-three million, six hundred fifty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 24921319 49842638 74763957 99685276 124606595 149527914 249213190 299055828 373819785 498426380 747639570 772560889 1495279140 1545121778 2317682667 3090243556 3862804445 4635365334 7725608890 9270730668 11588413335 15451217780 23176826670 46353653340