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21341005152 = 253834396101
BaseRepresentation
bin10011111000000001…
…011110010101100000
32001002021212101111020
4103320001132111200
5322201244131102
613445351445440
71353564356625
oct237001362540
961067771436
1021341005152
119061494045
124177086880
13202146bacc
14106643c34c
1584d85abbc
hex4f805e560

21341005152 has 96 divisors (see below), whose sum is σ = 56833539840. Its totient is φ = 7010803200.

The previous prime is 21341005139. The next prime is 21341005159. The reversal of 21341005152 is 25150014312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21341005159) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3494902 + ... + 3501002.

It is an arithmetic number, because the mean of its divisors is an integer number (592016040).

Almost surely, 221341005152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21341005152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28416769920).

21341005152 is an abundant number, since it is smaller than the sum of its proper divisors (35492534688).

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

21341005152 is a wasteful number, since it uses less digits than its factorization.

21341005152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6636 (or 6628 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 21341005152 its reverse (25150014312), we get a palindrome (46491019464).

The spelling of 21341005152 in words is "twenty-one billion, three hundred forty-one million, five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 166 249 332 439 498 664 878 996 1317 1328 1756 1992 2634 2656 3512 3984 5268 6101 7024 7968 10536 12202 14048 18303 21072 24404 36437 36606 42144 48808 72874 73212 97616 109311 145748 146424 195232 218622 291496 292848 437244 506383 582992 585696 874488 1012766 1165984 1519149 1748976 2025532 2678339 3038298 3497952 4051064 5356678 6076596 8035017 8102128 10713356 12153192 16070034 16204256 21426712 24306384 32140068 42853424 48612768 64280136 85706848 128560272 222302137 257120544 444604274 666906411 889208548 1333812822 1778417096 2667625644 3556834192 5335251288 7113668384 10670502576 21341005152