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69264630272 = 2917233111161
BaseRepresentation
bin100000010000001111…
…1100110001000000000
320121210011121210020202
41000200133212020000
52113323221132042
651453021224332
75001304433405
oct1004037461000
9217704553222
1069264630272
11274140949a2
12115107020a8
1366baca3136
1434d10b22ac
151c05ca3632
hex10207e6200

69264630272 has 160 divisors (see below), whose sum is σ = 157852468224. Its totient is φ = 30169497600.

The previous prime is 69264630199. The next prime is 69264630277. The reversal of 69264630272 is 27203646296.

It is not an unprimeable number, because it can be changed into a prime (69264630277) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6200372 + ... + 6211532.

Almost surely, 269264630272 is an apocalyptic number.

69264630272 is a gapful number since it is divisible by the number (62) 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 69264630272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78926234112).

69264630272 is an abundant number, since it is smaller than the sum of its proper divisors (88587837952).

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

69264630272 is a wasteful number, since it uses less digits than its factorization.

69264630272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11250 (or 11234 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 47.

The spelling of 69264630272 in words is "sixty-nine billion, two hundred sixty-four million, six hundred thirty thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 17 23 31 32 34 46 62 64 68 92 124 128 136 184 248 256 272 368 391 496 512 527 544 713 736 782 992 1054 1088 1426 1472 1564 1984 2108 2176 2852 2944 3128 3968 4216 4352 5704 5888 6256 7936 8432 8704 11161 11408 11776 12121 12512 15872 16864 22322 22816 24242 25024 33728 44644 45632 48484 50048 67456 89288 91264 96968 100096 134912 178576 182528 189737 193936 200192 256703 269824 345991 357152 365056 379474 387872 513406 691982 714304 758948 775744 1026812 1383964 1428608 1517896 1551488 2053624 2767928 2857216 3035792 3102976 4107248 4363951 5535856 5714432 5881847 6071584 6205952 7957793 8214496 8727902 11071712 11763694 12143168 15915586 16428992 17455804 22143424 23527388 24286336 31831172 32857984 34911608 44286848 47054776 48572672 63662344 65715968 69823216 88573696 94109552 97145344 127324688 131431936 135282481 139646432 177147392 188219104 254649376 270564962 279292864 376438208 509298752 541129924 558585728 752876416 1018597504 1082259848 1117171456 1505752832 2037195008 2164519696 2234342912 3011505664 4074390016 4329039392 8658078784 17316157568 34632315136 69264630272