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991026972 = 2232133183823
BaseRepresentation
bin111011000100011…
…101111100011100
32120001210101102200
4323010131330130
54012200330342
6242201051500
733362406315
oct7304357434
92501711380
10991026972
11469455261
12237a86b90
1312a417bc0
149589360c
155c00c94c
hex3b11df1c

991026972 has 144 divisors (see below), whose sum is σ = 2821797888. Its totient is φ = 291185280.

The previous prime is 991026899. The next prime is 991026979. The reversal of 991026972 is 279620199.

It is a Cunningham number, because it is equal to 9973-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (991026979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1203753 + ... + 1204575.

Almost surely, 2991026972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 991026972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410898944).

991026972 is an abundant number, since it is smaller than the sum of its proper divisors (1830770916).

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

991026972 is a wasteful number, since it uses less digits than its factorization.

991026972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 991026972 is about 31480.5808713880. The cubic root of 991026972 is about 996.9999996647. Note that the first 6 decimals are identical.

The spelling of 991026972 in words is "nine hundred ninety-one million, twenty-six thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 83 93 117 124 156 166 186 234 249 279 332 372 403 468 498 558 747 806 823 996 1079 1116 1209 1494 1612 1646 2158 2418 2469 2573 2988 3237 3292 3627 4316 4836 4938 5146 6474 7254 7407 7719 9711 9876 10292 10699 12948 14508 14814 15438 19422 21398 23157 25513 29628 30876 32097 33449 38844 42796 46314 51026 64194 66898 68309 76539 92628 96291 100347 102052 128388 133796 136618 153078 192582 200694 204927 229617 273236 301041 306156 331669 385164 401388 409854 459234 602082 614781 663338 819708 888017 918468 995007 1204164 1229562 1326676 1776034 1990014 2117579 2459124 2664051 2985021 3552068 3980028 4235158 5328102 5970042 6352737 7992153 8470316 10656204 11940084 12705474 15984306 19058211 25410948 27528527 31968612 38116422 55057054 76232844 82585581 110114108 165171162 247756743 330342324 495513486 991026972