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2135697942 = 2373137431031
BaseRepresentation
bin111111101001100…
…0010101000010110
312111211200200210210
41333103002220112
513333214313232
6551531230250
7103632063420
oct17723025026
95454620723
102135697942
119a6600524
124b72a8386
132806094c1
141638dd810
15c77695cc
hex7f4c2a16

2135697942 has 128 divisors (see below), whose sum is σ = 5300748288. Its totient is φ = 560649600.

The previous prime is 2135697937. The next prime is 2135698003. The reversal of 2135697942 is 2497965312.

2135697942 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×21356979422 = 9122411398926070728, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2135697891 and 2135697900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2070967 + ... + 2071997.

It is an arithmetic number, because the mean of its divisors is an integer number (41412096).

Almost surely, 22135697942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2135697942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2650374144).

2135697942 is an abundant number, since it is smaller than the sum of its proper divisors (3165050346).

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

2135697942 is a wasteful number, since it uses less digits than its factorization.

2135697942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154.

The product of its digits is 816480, while the sum is 48.

The square root of 2135697942 is about 46213.6120856182. The cubic root of 2135697942 is about 1287.7946298041.

The spelling of 2135697942 in words is "two billion, one hundred thirty-five million, six hundred ninety-seven thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 14 21 31 37 42 43 62 74 86 93 111 129 186 217 222 258 259 301 434 518 602 651 777 903 1031 1147 1302 1333 1554 1591 1806 2062 2294 2666 3093 3182 3441 3999 4773 6186 6882 7217 7998 8029 9331 9546 11137 14434 16058 18662 21651 22274 24087 27993 31961 33411 38147 43302 44333 48174 49321 55986 63922 66822 76294 88666 95883 98642 114441 132999 147963 191766 223727 228882 265998 267029 295926 310331 345247 447454 534058 620662 671181 690494 801087 930993 1035741 1182557 1342362 1374323 1602174 1640321 1861986 2071482 2365114 2748646 3280642 3547671 4122969 4920963 7095342 8245938 8277899 9620261 9841926 11482247 16555798 19240522 22964494 24833697 28860783 34446741 49667394 50849951 57721566 68893482 101699902 152549853 305099706 355949657 711899314 1067848971 2135697942