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46034361400 = 2352317424897
BaseRepresentation
bin101010110111110111…
…001001110000111000
311101211012202212011011
4222313313021300320
51223234244031100
633051540043304
73216526421116
oct526767116070
9141735685134
1046034361400
1118583219085
128b08993534
1344582bc501
142329ba2ab6
1512e665abba
hexab7dc9c38

46034361400 has 48 divisors (see below), whose sum is σ = 110482482240. Its totient is φ = 17819750400.

The previous prime is 46034361397. The next prime is 46034361403. The reversal of 46034361400 is 416343064.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (46034361397) and next prime (46034361403).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46034361403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3706249 + ... + 3718648.

It is an arithmetic number, because the mean of its divisors is an integer number (2301718380).

Almost surely, 246034361400 is an apocalyptic number.

46034361400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46034361400 is an abundant number, since it is smaller than the sum of its proper divisors (64448120840).

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

46034361400 is a wasteful number, since it uses less digits than its factorization.

46034361400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7424944 (or 7424935 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

The spelling of 46034361400 in words is "forty-six billion, thirty-four million, three hundred sixty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 620 775 1240 1550 3100 6200 7424897 14849794 29699588 37124485 59399176 74248970 148497940 185622425 230171807 296995880 371244850 460343614 742489700 920687228 1150859035 1484979400 1841374456 2301718070 4603436140 5754295175 9206872280 11508590350 23017180700 46034361400