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46082653240 = 23513293302459
BaseRepresentation
bin101010111010101111…
…010111110000111000
311101221120122100002211
4222322233113300320
51223334124400430
633100423104504
73220654042501
oct527257276070
9141846570084
1046082653240
11185a8502498
128b20ba2134
1344652ca270
142332373ba8
1512ea9e972a
hexababd7c38

46082653240 has 64 divisors (see below), whose sum is σ = 112043282400. Its totient is φ = 16957005312.

The previous prime is 46082653207. The next prime is 46082653259. The reversal of 46082653240 is 4235628064.

It is a super-2 number, since 2×460826532402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 46082653193 and 46082653202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1131 + ... + 303589.

Almost surely, 246082653240 is an apocalyptic number.

46082653240 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 46082653240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56021641200).

46082653240 is an abundant number, since it is smaller than the sum of its proper divisors (65960629160).

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

46082653240 is a wasteful number, since it uses less digits than its factorization.

46082653240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302776 (or 302772 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The spelling of 46082653240 in words is "forty-six billion, eighty-two million, six hundred fifty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 293 520 586 1172 1465 2344 2930 3809 5860 7618 11720 15236 19045 30472 38090 76180 152360 302459 604918 1209836 1512295 2419672 3024590 3931967 6049180 7863934 12098360 15727868 19659835 31455736 39319670 78639340 88620487 157278680 177240974 354481948 443102435 708963896 886204870 1152066331 1772409740 2304132662 3544819480 4608265324 5760331655 9216530648 11520663310 23041326620 46082653240