Search a number
-
+
106274416030510 = 25713831407049067
BaseRepresentation
bin11000001010011111110000…
…110100001111001100101110
3111221021201211210000210120111
4120022133300310033030232
5102412200001000434020
61014005443121410234
731246034046342550
oct3012376064171456
9457251753023514
10106274416030510
11309537aa30a992
12bb0483aa9997a
13473b832ac5c50
141c359cddc74d0
15c44694d40d5a
hex60a7f0d0f32e

106274416030510 has 64 divisors (see below), whose sum is σ = 238275317371392. Its totient is φ = 33228870742656.

The previous prime is 106274416030477. The next prime is 106274416030511. The reversal of 106274416030510 is 15030614472601.

It is a super-2 number, since 2×1062744160305102 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106274416030511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 703449004 + ... + 703600063.

It is an arithmetic number, because the mean of its divisors is an integer number (3723051833928).

Almost surely, 2106274416030510 is an apocalyptic number.

106274416030510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106274416030510 is an abundant number, since it is smaller than the sum of its proper divisors (132000901340882).

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

106274416030510 is a wasteful number, since it uses less digits than its factorization.

106274416030510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407049177.

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 106274416030510 in words is "one hundred six trillion, two hundred seventy-four billion, four hundred sixteen million, thirty thousand, five hundred ten".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 83 91 130 166 182 415 455 581 830 910 1079 1162 2158 2905 5395 5810 7553 10790 15106 37765 75530 1407049067 2814098134 7035245335 9849343469 14070490670 18291637871 19698686938 36583275742 49246717345 91458189355 98493434690 116785072561 128041465097 182916378710 233570145122 256082930194 583925362805 640207325485 817495507927 1167850725610 1280414650970 1518205943293 1634991015854 3036411886586 4087477539635 7591029716465 8174955079270 10627441603051 15182059432930 21254883206102 53137208015255 106274416030510