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2151141696 = 26321119107167
BaseRepresentation
bin1000000000110111…
…1101000101000000
312112220202022122200
42000031331011000
513401143013241
6553242233200
7104210255064
oct20015750500
95486668580
102151141696
11a04299660
125004b5800
13283885b12
1416599daa4
15c8cba4b6
hex8037d140

2151141696 has 336 divisors, whose sum is σ = 7189378560. Its totient is φ = 608117760.

The previous prime is 2151141689. The next prime is 2151141701. The reversal of 2151141696 is 6961411512.

2151141696 is a `hidden beast` number, since 2 + 151 + 1 + 416 + 96 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2151141696.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12881005 + ... + 12881171.

It is an arithmetic number, because the mean of its divisors is an integer number (21396960).

Almost surely, 22151141696 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 2151141696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3594689280).

2151141696 is an abundant number, since it is smaller than the sum of its proper divisors (5038236864).

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

2151141696 is a wasteful number, since it uses less digits than its factorization.

2151141696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 309 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 2151141696 is about 46380.4020681149. The cubic root of 2151141696 is about 1290.8912967821.

It can be divided in two parts, 21511416 and 96, that added together give a palindrome (21511512).

The spelling of 2151141696 in words is "two billion, one hundred fifty-one million, one hundred forty-one thousand, six hundred ninety-six".