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137597096350 = 25272340194253
BaseRepresentation
bin1000000000100101101…
…1010001000110011110
3111011011101012201121201
42000021123101012132
54223244324040400
6143113343150114
712640533010210
oct2001133210636
9434141181551
10137597096350
1153399a7905a
1222800ba533a
13cc8aaca80c
1469344545b0
1538a4cc506a
hex20096d119e

137597096350 has 96 divisors (see below), whose sum is σ = 305356884480. Its totient is φ = 45103175040.

The previous prime is 137597096333. The next prime is 137597096359. The reversal of 137597096350 is 53690795731.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 137597096291 and 137597096300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137597096359) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32350824 + ... + 32355076.

It is an arithmetic number, because the mean of its divisors is an integer number (3180800880).

Almost surely, 2137597096350 is an apocalyptic number.

137597096350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137597096350 is an abundant number, since it is smaller than the sum of its proper divisors (167759788130).

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

137597096350 is a wasteful number, since it uses less digits than its factorization.

137597096350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8314 (or 8309 counting only the distinct ones).

The product of its (nonzero) digits is 5358150, while the sum is 55.

The spelling of 137597096350 in words is "one hundred thirty-seven billion, five hundred ninety-seven million, ninety-six thousand, three hundred fifty".

Divisors: 1 2 5 7 10 14 23 25 35 46 50 70 115 161 175 230 322 350 575 805 1150 1610 4019 4025 4253 8038 8050 8506 20095 21265 28133 29771 40190 42530 56266 59542 92437 97819 100475 106325 140665 148855 184874 195638 200950 212650 281330 297710 462185 489095 647059 684733 703325 744275 924370 978190 1294118 1369466 1406650 1488550 2310925 2445475 3235295 3423665 4621850 4890950 6470590 6847330 16176475 17092807 17118325 32352950 34185614 34236650 85464035 119649649 170928070 239299298 393134561 427320175 598248245 786269122 854640350 1196496490 1965672805 2751941927 2991241225 3931345610 5503883854 5982482450 9828364025 13759709635 19656728050 27519419270 68798548175 137597096350