Search a number
-
+
89069693976 = 233243269106949
BaseRepresentation
bin101001011110011110…
…1111010110000011000
322111220102100021011200
41102330331322300120
52424403320201401
6104530144354200
76302141623044
oct1227475726030
9274812307150
1089069693976
113485757a43a
1215319315960
138526177543
14444d533024
1524b4865686
hex14bcf7ac18

89069693976 has 96 divisors (see below), whose sum is σ = 247760370000. Its totient is φ = 28891360512.

The previous prime is 89069693957. The next prime is 89069693981. The reversal of 89069693976 is 67939696098.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 779350 + ... + 886298.

Almost surely, 289069693976 is an apocalyptic number.

89069693976 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89069693976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123880185000).

89069693976 is an abundant number, since it is smaller than the sum of its proper divisors (158690676024).

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

89069693976 is a wasteful number, since it uses less digits than its factorization.

89069693976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107273 (or 107266 counting only the distinct ones).

The product of its (nonzero) digits is 238085568, while the sum is 72.

The spelling of 89069693976 in words is "eighty-nine billion, sixty-nine million, six hundred ninety-three thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 269 344 387 516 538 774 807 1032 1076 1548 1614 2152 2421 3096 3228 4842 6456 9684 11567 19368 23134 34701 46268 69402 92536 104103 106949 138804 208206 213898 277608 320847 416412 427796 641694 832824 855592 962541 1283388 1925082 2566776 3850164 4598807 7700328 9197614 13796421 18395228 27592842 28769281 36790456 41389263 55185684 57538562 82778526 86307843 110371368 115077124 165557052 172615686 230154248 258923529 331114104 345231372 517847058 690462744 1035694116 1237079083 2071388232 2474158166 3711237249 4948316332 7422474498 9896632664 11133711747 14844948996 22267423494 29689897992 44534846988 89069693976