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2156367312 = 2433111726693
BaseRepresentation
bin1000000010000111…
…1000110111010000
312120021120210212000
42000201320313100
513404012223222
6553550234000
7104302551111
oct20041706720
95507523760
102156367312
11a07238750
125021b5900
132849954b8
14166560208
15c949d9ac
hex80878dd0

2156367312 has 160 divisors (see below), whose sum is σ = 7149720960. Its totient is φ = 614983680.

The previous prime is 2156367287. The next prime is 2156367313. The reversal of 2156367312 is 2137636512.

2156367312 is a `hidden beast` number, since 2 + 1 + 5 + 636 + 7 + 3 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2156367313) 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, 67438 + ... + 94130.

It is an arithmetic number, because the mean of its divisors is an integer number (44685756).

Almost surely, 22156367312 is an apocalyptic number.

2156367312 is a gapful number since it is divisible by the number (22) 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 2156367312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3574860480).

2156367312 is an abundant number, since it is smaller than the sum of its proper divisors (4993353648).

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

2156367312 is a wasteful number, since it uses less digits than its factorization.

2156367312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26738 (or 26726 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 2156367312 is about 46436.7022084902. The cubic root of 2156367312 is about 1291.9357417392.

The spelling of 2156367312 in words is "two billion, one hundred fifty-six million, three hundred sixty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 27 33 34 36 44 48 51 54 66 68 72 88 99 102 108 132 136 144 153 176 187 198 204 216 264 272 297 306 374 396 408 432 459 528 561 594 612 748 792 816 918 1122 1188 1224 1496 1584 1683 1836 2244 2376 2448 2992 3366 3672 4488 4752 5049 6732 7344 8976 10098 13464 20196 26693 26928 40392 53386 80079 80784 106772 160158 213544 240237 293623 320316 427088 453781 480474 587246 640632 720711 880869 907562 960948 1174492 1281264 1361343 1441422 1761738 1815124 1921896 2348984 2642607 2722686 2882844 3523476 3630248 3843792 4084029 4697968 4991591 5285214 5445372 5765688 7046952 7260496 7927821 8168058 9983182 10570428 10890744 11531376 12252087 14093904 14974773 15855642 16336116 19966364 21140856 21781488 24504174 29949546 31711284 32672232 39932728 42281712 44924319 49008348 59899092 63422568 65344464 79865456 89848638 98016696 119798184 126845136 134772957 179697276 196033392 239596368 269545914 359394552 539091828 718789104 1078183656 2156367312