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13907227152 = 2437133319619
BaseRepresentation
bin11001111001110111…
…10111001000010000
31022220012220100011010
430330323313020100
5211440222232102
610220000050520
71001430323520
oct147473671020
938805810133
1013907227152
1159972a3665
122841603a40
131408328ac0
1495d047680
15565e09d6c
hex33cef7210

13907227152 has 160 divisors (see below), whose sum is σ = 44356049920. Its totient is φ = 3656378880.

The previous prime is 13907227133. The next prime is 13907227157. The reversal of 13907227152 is 25172270931.

It is a super-2 number, since 2×139072271522 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 13907227152.

It is not an unprimeable number, because it can be changed into a prime (13907227157) 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, 1440999 + ... + 1450617.

It is an arithmetic number, because the mean of its divisors is an integer number (277225312).

Almost surely, 213907227152 is an apocalyptic number.

13907227152 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 13907227152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22178024960).

13907227152 is an abundant number, since it is smaller than the sum of its proper divisors (30448822768).

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

13907227152 is a wasteful number, since it uses less digits than its factorization.

13907227152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9981 (or 9975 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The spelling of 13907227152 in words is "thirteen billion, nine hundred seven million, two hundred twenty-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 331 336 364 546 624 662 728 993 1092 1324 1456 1986 2184 2317 2648 3972 4303 4368 4634 5296 6951 7944 8606 9268 9619 12909 13902 15888 17212 18536 19238 25818 27804 28857 30121 34424 37072 38476 51636 55608 57714 60242 67333 68848 76952 90363 103272 111216 115428 120484 125047 134666 153904 180726 201999 206544 230856 240968 250094 269332 361452 375141 403998 461712 481936 500188 538664 722904 750282 807996 875329 1000376 1077328 1445808 1500564 1615992 1750658 2000752 2625987 3001128 3183889 3231984 3501316 5251974 6002256 6367778 7002632 9551667 10503948 12735556 14005264 19103334 21007896 22287223 25471112 38206668 41390557 42015792 44574446 50942224 66861669 76413336 82781114 89148892 124171671 133723338 152826672 165562228 178297784 248343342 267446676 289733899 331124456 356595568 496686684 534893352 579467798 662248912 869201697 993373368 1069786704 1158935596 1738403394 1986746736 2317871192 3476806788 4635742384 6953613576 13907227152