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2151964108 = 227177989643
BaseRepresentation
bin1000000001000100…
…0101110111001100
312112222022002210101
42000101011313030
513401400322413
6553312020444
7104220251560
oct20021056714
95488262711
102151964108
11a04800538
12500831724
13283ab3258
14165b356a0
15c8dcdedd
hex80445dcc

2151964108 has 96 divisors (see below), whose sum is σ = 4673894400. Its totient is φ = 846084096.

The previous prime is 2151964097. The next prime is 2151964147. The reversal of 2151964108 is 8014691512.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3346435 + ... + 3347077.

It is an arithmetic number, because the mean of its divisors is an integer number (48686400).

Almost surely, 22151964108 is an apocalyptic number.

2151964108 is a gapful number since it is divisible by the number (28) 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 2151964108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2336947200).

2151964108 is an abundant number, since it is smaller than the sum of its proper divisors (2521930292).

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

2151964108 is a wasteful number, since it uses less digits than its factorization.

2151964108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 37.

The square root of 2151964108 is about 46389.2671638602. The cubic root of 2151964108 is about 1291.0557845097.

The spelling of 2151964108 in words is "two billion, one hundred fifty-one million, nine hundred sixty-four thousand, one hundred eight".

Divisors: 1 2 4 7 14 17 28 34 68 79 89 119 158 178 238 316 356 476 553 623 643 1106 1246 1286 1343 1513 2212 2492 2572 2686 3026 4501 5372 6052 7031 9002 9401 10591 10931 14062 18004 18802 21182 21862 28124 37604 42364 43724 49217 50797 57227 76517 98434 101594 114454 119527 153034 196868 203188 228908 239054 306068 355579 400589 478108 711158 801178 836689 863549 972859 1422316 1602356 1673378 1727098 1945718 3346756 3454196 3891436 4520933 6044843 6810013 9041866 12089686 13620026 18083732 24179372 27240052 31646531 63293062 76855861 126586124 153711722 307423444 537991027 1075982054 2151964108