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46260246040 = 2353750362141
BaseRepresentation
bin101011000101010100…
…110101011000011000
311102101221210222121221
4223011110311120120
51224220110333130
633130205341424
73225241413661
oct530524653030
9142357728557
1046260246040
11186897805a8
128b70567874
13449303a568
14234bba2368
15130b3c987a
hexac5535618

46260246040 has 64 divisors (see below), whose sum is σ = 107112922560. Its totient is φ = 17967905280.

The previous prime is 46260246037. The next prime is 46260246047. The reversal of 46260246040 is 4064206264.

It is a junction number, because it is equal to n+sod(n) for n = 46260245987 and 46260246005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46260246047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 713370 + ... + 775510.

It is an arithmetic number, because the mean of its divisors is an integer number (1673639415).

Almost surely, 246260246040 is an apocalyptic number.

46260246040 is a gapful number since it is divisible by the number (40) 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 46260246040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53556461280).

46260246040 is an abundant number, since it is smaller than the sum of its proper divisors (60852676520).

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

46260246040 is a wasteful number, since it uses less digits than its factorization.

46260246040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62692 (or 62688 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

The spelling of 46260246040 in words is "forty-six billion, two hundred sixty million, two hundred forty-six thousand, forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 503 740 1006 1480 2012 2515 4024 5030 10060 18611 20120 37222 62141 74444 93055 124282 148888 186110 248564 310705 372220 497128 621410 744440 1242820 2299217 2485640 4598434 9196868 11496085 18393736 22992170 31256923 45984340 62513846 91968680 125027692 156284615 250055384 312569230 625138460 1156506151 1250276920 2313012302 4626024604 5782530755 9252049208 11565061510 23130123020 46260246040