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70400006742 = 23135373263887
BaseRepresentation
bin100000110010000101…
…0101101101001010110
320201201022000212222010
41001210022231221112
52123134400203432
652201420245050
75041402120032
oct1014412555126
9221638025863
1070400006742
1127946a7205a
12117889a0786
13683c28c030
14359bbbd1c2
151c707c63cc
hex10642ada56

70400006742 has 128 divisors (see below), whose sum is σ = 157380765696. Its totient is φ = 20858452992.

The previous prime is 70400006741. The next prime is 70400006753. The reversal of 70400006742 is 24760000407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70400006741) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79368223 + ... + 79369109.

It is an arithmetic number, because the mean of its divisors is an integer number (1229537232).

Almost surely, 270400006742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70400006742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78690382848).

70400006742 is an abundant number, since it is smaller than the sum of its proper divisors (86980758954).

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

70400006742 is a wasteful number, since it uses less digits than its factorization.

70400006742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294.

The product of its (nonzero) digits is 9408, while the sum is 30.

The spelling of 70400006742 in words is "seventy billion, four hundred million, six thousand, seven hundred forty-two".

Divisors: 1 2 3 6 13 26 39 53 73 78 106 146 159 219 263 318 438 526 689 789 887 949 1378 1578 1774 1898 2067 2661 2847 3419 3869 4134 5322 5694 6838 7738 10257 11531 11607 13939 19199 20514 23062 23214 27878 34593 38398 41817 47011 50297 57597 64751 69186 83634 94022 100594 115194 129502 141033 150891 181207 194253 233281 249587 282066 301782 362414 388506 466562 499174 543621 611143 699843 748761 841763 1017547 1087242 1222286 1399686 1497522 1683526 1833429 2035094 2525289 3032653 3052641 3431803 3666858 5050578 6065306 6105282 6863606 9097959 10295409 12363893 13228111 17029513 18195918 20590818 24727786 26456222 34059026 37091679 39684333 44613439 51088539 74183358 79368666 89226878 102177078 133840317 160730609 221383669 267680634 321461218 442767338 482191827 664151007 902564189 964383654 1328302014 1805128378 2707692567 5415385134 11733334457 23466668914 35200003371 70400006742