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21793545984 = 283719213361
BaseRepresentation
bin10100010010111111…
…110001111100000000
32002020211101211210210
4110102333301330000
5324113121432414
614002315154120
71401031040640
oct242277617400
962224354723
1021793545984
119273985731
124282745940
132094148152
1410aa59c520
1587844be59
hex512ff1f00

21793545984 has 144 divisors (see below), whose sum is σ = 69777908480. Its totient is φ = 5898977280.

The previous prime is 21793545959. The next prime is 21793545997. The reversal of 21793545984 is 48954539712.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4537 + ... + 208824.

Almost surely, 221793545984 is an apocalyptic number.

21793545984 is a gapful number since it is divisible by the number (24) 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 21793545984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34888954240).

21793545984 is an abundant number, since it is smaller than the sum of its proper divisors (47984362496).

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

21793545984 is a wasteful number, since it uses less digits than its factorization.

21793545984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213406 (or 213392 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 57.

The spelling of 21793545984 in words is "twenty-one billion, seven hundred ninety-three million, five hundred forty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 152 168 192 224 228 256 266 304 336 384 399 448 456 532 608 672 768 798 896 912 1064 1216 1344 1596 1792 1824 2128 2432 2688 3192 3648 4256 4864 5376 6384 7296 8512 12768 14592 17024 25536 34048 51072 102144 213361 426722 640083 853444 1280166 1493527 1706888 2560332 2987054 3413776 4053859 4480581 5120664 5974108 6827552 8107718 8961162 10241328 11948216 12161577 13655104 16215436 17922324 20482656 23896432 24323154 27310208 28377013 32430872 35844648 40965312 47792864 48646308 54620416 56754026 64861744 71689296 81930624 85131039 95585728 97292616 113508052 129723488 143378592 163861248 170262078 191171456 194585232 227016104 259446976 286757184 340524156 382342912 389170464 454032208 518893952 573514368 681048312 778340928 908064416 1037787904 1147028736 1362096624 1556681856 1816128832 2724193248 3113363712 3632257664 5448386496 7264515328 10896772992 21793545984