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23064333346032 = 24311383114053393
BaseRepresentation
bin1010011111010000101010…
…11001010110010011110000
310000122221002001021101002120
411033220111121112103300
511010341223314033112
6121015335232314240
74600225452502416
oct517502531262360
9100587061241076
1023064333346032
11739258a984890
1227060326a2980
13cb3c5a2672a4
1459a4693312b6
1529ee5249be8c
hex14fa156564f0

23064333346032 has 80 divisors (see below), whose sum is σ = 65169196904448. Its totient is φ = 6970943319040.

The previous prime is 23064333345983. The next prime is 23064333346121.

23064333346032 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56824473 + ... + 57228920.

Almost surely, 223064333346032 is an apocalyptic number.

23064333346032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23064333346032 is an abundant number, since it is smaller than the sum of its proper divisors (42104863558416).

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

23064333346032 is a wasteful number, since it uses less digits than its factorization.

23064333346032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114053798 (or 114053792 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 42.

The spelling of 23064333346032 in words is "twenty-three trillion, sixty-four billion, three hundred thirty-three million, three hundred forty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 383 528 766 1149 1532 2298 3064 4213 4596 6128 8426 9192 12639 16852 18384 25278 33704 50556 67408 101112 202224 114053393 228106786 342160179 456213572 684320358 912427144 1254587323 1368640716 1824854288 2509174646 2737281432 3763761969 5018349292 5474562864 7527523938 10036698584 15055047876 20073397168 30110095752 43682449519 60220191504 87364899038 131047348557 174729798076 262094697114 349459596152 480506944709 524189394228 698919192304 961013889418 1048378788456 1441520834127 1922027778836 2096757576912 2883041668254 3844055557672 5766083336508 7688111115344 11532166673016 23064333346032