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11691977652 = 22323714875903
BaseRepresentation
bin10101110001110010…
…10110101110110100
31010011211112000010100
422320321112232310
5142421121241102
65212103354100
7562511112255
oct127071265664
933154460110
1011691977652
114a5a8a8953
122323752930
1311443b8394
147ccb5ab2c
154866c9a1c
hex2b8e56bb4

11691977652 has 72 divisors (see below), whose sum is σ = 30379055616. Its totient is φ = 3788800704.

The previous prime is 11691977597. The next prime is 11691977653. The reversal of 11691977652 is 25677919611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11691977653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1977733 + ... + 1983635.

It is an arithmetic number, because the mean of its divisors is an integer number (421931328).

Almost surely, 211691977652 is an apocalyptic number.

11691977652 is a gapful number since it is divisible by the number (12) 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 11691977652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15189527808).

11691977652 is an abundant number, since it is smaller than the sum of its proper divisors (18687077964).

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

11691977652 is a wasteful number, since it uses less digits than its factorization.

11691977652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7437 (or 7432 counting only the distinct ones).

The product of its digits is 1428840, while the sum is 54.

The spelling of 11691977652 in words is "eleven billion, six hundred ninety-one million, nine hundred seventy-seven thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 1487 2974 4461 5903 5948 8922 11806 13383 17709 17844 23612 26766 35418 53127 53532 55019 70836 106254 110038 165057 212508 218411 220076 330114 436822 495171 655233 660228 873644 990342 1310466 1965699 1980684 2620932 3931398 7862796 8777761 17555522 26333283 35111044 52666566 78999849 105333132 157999698 315999396 324777157 649554314 974331471 1299108628 1948662942 2922994413 3897325884 5845988826 11691977652