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21276402516 = 2235139157477
BaseRepresentation
bin10011110100001011…
…000010001101010100
32000220210022020100000
4103310023002031110
5322033224340031
613435123051300
71352151303015
oct236413021524
960823266300
1021276402516
119028a7a136
124159510b30
132010c6cbb5
14105ba2300c
15847d493e6
hex4f42c2354

21276402516 has 72 divisors (see below), whose sum is σ = 56175552160. Its totient is φ = 7041066912.

The previous prime is 21276402509. The next prime is 21276402523. The reversal of 21276402516 is 61520467212.

It is a happy number.

21276402516 is a `hidden beast` number, since 2 + 1 + 2 + 7 + 640 + 2 + 5 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (21276402509) and next prime (21276402523).

It is a super-2 number, since 2×212764025162 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56370 + ... + 213846.

Almost surely, 221276402516 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 21276402516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28087776080).

21276402516 is an abundant number, since it is smaller than the sum of its proper divisors (34899149644).

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

21276402516 is a wasteful number, since it uses less digits than its factorization.

21276402516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157635 (or 157621 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 21276402516 its reverse (61520467212), we get a palindrome (82796869728).

The spelling of 21276402516 in words is "twenty-one billion, two hundred seventy-six million, four hundred two thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 139 162 243 278 324 417 486 556 834 972 1251 1668 2502 3753 5004 7506 11259 15012 22518 33777 45036 67554 135108 157477 314954 472431 629908 944862 1417293 1889724 2834586 4251879 5669172 8503758 12755637 17007516 21889303 25511274 38266911 43778606 51022548 65667909 76533822 87557212 131335818 153067644 197003727 262671636 394007454 591011181 788014908 1182022362 1773033543 2364044724 3546067086 5319100629 7092134172 10638201258 21276402516