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2591117136 = 2432107211797
BaseRepresentation
bin1001101001110001…
…0100111101010000
320200120122101111100
42122130110331100
520301311222021
61105040344400
7121132063236
oct23234247520
96616571440
102591117136
11110a688723
12603915100
13323a82a0a
141a81ac956
15102728626
hex9a714f50

2591117136 has 120 divisors (see below), whose sum is σ = 7363216224. Its totient is φ = 850510080.

The previous prime is 2591117117. The next prime is 2591117149. The reversal of 2591117136 is 6317111952.

It is a happy number.

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 2591117136.

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, 3250690 + ... + 3251486.

Almost surely, 22591117136 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 2591117136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3681608112).

2591117136 is an abundant number, since it is smaller than the sum of its proper divisors (4772099088).

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

2591117136 is a wasteful number, since it uses less digits than its factorization.

2591117136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1120 counting only the distinct ones).

The product of its digits is 11340, while the sum is 36.

The square root of 2591117136 is about 50903.0169636339. The cubic root of 2591117136 is about 1373.5011123973.

The spelling of 2591117136 in words is "two billion, five hundred ninety-one million, one hundred seventeen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 107 144 211 214 321 422 428 633 642 797 844 856 963 1266 1284 1594 1688 1712 1899 1926 2391 2532 2568 3188 3376 3798 3852 4782 5064 5136 6376 7173 7596 7704 9564 10128 12752 14346 15192 15408 19128 22577 28692 30384 38256 45154 57384 67731 85279 90308 114768 135462 168167 170558 180616 203193 255837 270924 336334 341116 361232 406386 504501 511674 541848 672668 682232 767511 812772 1009002 1023348 1083696 1345336 1364464 1513503 1535022 1625544 2018004 2046696 2690672 3027006 3070044 3251088 4036008 4093392 6054012 6140088 8072016 12108024 12280176 17993869 24216048 35987738 53981607 71975476 107963214 143950952 161944821 215926428 287901904 323889642 431852856 647779284 863705712 1295558568 2591117136