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46345703004 = 22328934634177
BaseRepresentation
bin101011001010011010…
…110100111001011100
311102121220121122112200
4223022122310321130
51224403444444004
633142501131500
73230326655436
oct531232647134
9142556548480
1046345703004
1118722a39697
128b950b9b90
1344a795b703
142359289656
151313b5a239
hexaca6b4e5c

46345703004 has 72 divisors (see below), whose sum is σ = 118530528480. Its totient is φ = 15266921472.

The previous prime is 46345702993. The next prime is 46345703009. The reversal of 46345703004 is 40030754364.

It is a happy number.

46345703004 is a `hidden beast` number, since 4 + 6 + 345 + 7 + 0 + 300 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 46345703004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46345703009) 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 23 ways as a sum of consecutive naturals, for example, 11093364 + ... + 11097540.

It is an arithmetic number, because the mean of its divisors is an integer number (1646257340).

Almost surely, 246345703004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46345703004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59265264240).

46345703004 is an abundant number, since it is smaller than the sum of its proper divisors (72184825476).

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

46345703004 is a wasteful number, since it uses less digits than its factorization.

46345703004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7739 (or 7734 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 46345703004 in words is "forty-six billion, three hundred forty-five million, seven hundred three thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 801 1068 1602 3204 3463 4177 6926 8354 10389 12531 13852 16708 20778 25062 31167 37593 41556 50124 62334 75186 124668 150372 308207 371753 616414 743506 924621 1115259 1232828 1487012 1849242 2230518 2773863 3345777 3698484 4461036 5547726 6691554 11095452 13383108 14464951 28929902 43394853 57859804 86789706 130184559 173579412 260369118 520738236 1287380639 2574761278 3862141917 5149522556 7724283834 11586425751 15448567668 23172851502 46345703004