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23324145046608 = 2437233217938183
BaseRepresentation
bin1010100110110100100110…
…11000010101010001010000
310001120202200202211021002110
411103122103120111101100
511024120322112442413
6121334544142545320
74625054025511260
oct523322330252120
9101522622737073
1023324145046608
11748279490198a
122748460b98240
1310025c3cc4c63
145a8c74c8b7a0
152a6aab87b8c3
hex153693615450

23324145046608 has 160 divisors (see below), whose sum is σ = 71878164074496. Its totient is φ = 6372312274944.

The previous prime is 23324145046571. The next prime is 23324145046621. The reversal of 23324145046608 is 80664054142332.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 24391885 + ... + 25330067.

Almost surely, 223324145046608 is an apocalyptic number.

23324145046608 is a gapful number since it is divisible by the number (28) 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 23324145046608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35939082037248).

23324145046608 is an abundant number, since it is smaller than the sum of its proper divisors (48554019027888).

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

23324145046608 is a wasteful number, since it uses less digits than its factorization.

23324145046608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941441 (or 941435 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 48.

The spelling of 23324145046608 in words is "twenty-three trillion, three hundred twenty-four billion, one hundred forty-five million, forty-six thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 322 336 368 483 552 644 966 1104 1288 1932 2576 3217 3864 6434 7728 9651 12868 19302 22519 25736 38604 45038 51472 67557 73991 77208 90076 135114 147982 154416 180152 221973 270228 295964 360304 443946 517937 540456 591928 887892 938183 1035874 1080912 1183856 1553811 1775784 1876366 2071748 2814549 3107622 3551568 3752732 4143496 5629098 6215244 6567281 7505464 8286992 11258196 12430488 13134562 15010928 19701843 21578209 22516392 24860976 26269124 39403686 43156418 45032784 52538248 64734627 78807372 86312836 105076496 129469254 151047463 157614744 172625672 258938508 302094926 315229488 345251344 453142389 517877016 604189852 906284778 1035754032 1208379704 1812569556 2416759408 3018134711 3625139112 6036269422 7250278224 9054404133 12072538844 18108808266 21126942977 24145077688 36217616532 42253885954 48290155376 63380828931 69417098353 72435233064 84507771908 126761657862 138834196706 144870466128 169015543816 208251295059 253523315724 277668393412 338031087632 416502590118 485919688471 507046631448 555336786824 833005180236 971839376942 1014093262896 1110673573648 1457759065413 1666010360472 1943678753884 2915518130826 3332020720944 3887357507768 5831036261652 7774715015536 11662072523304 23324145046608