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12948822857152 = 267132578651189
BaseRepresentation
bin1011110001101110000111…
…1111001001010111000000
31200211220011201200022020101
42330123201333021113000
53144123142122412102
643312335044452144
72504343621146320
oct274334177112700
950756151608211
1012948822857152
114142623a22916
12155169a6aa054
1372c0b8097c80
1432aa25235280
15176c667bde87
hexbc6e1fc95c0

12948822857152 has 112 divisors (see below), whose sum is σ = 31748067852480. Its totient is φ = 5102678310912.

The previous prime is 12948822857119. The next prime is 12948822857153. The reversal of 12948822857152 is 25175822884921.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×129488228571522 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12948822857153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2828827 + ... + 5822362.

It is an arithmetic number, because the mean of its divisors is an integer number (283464891540).

Almost surely, 212948822857152 is an apocalyptic number.

It is an amenable number.

12948822857152 is an abundant number, since it is smaller than the sum of its proper divisors (18799244995328).

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

12948822857152 is a wasteful number, since it uses less digits than its factorization.

12948822857152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8651478 (or 8651468 counting only the distinct ones).

The product of its digits is 51609600, while the sum is 64.

The spelling of 12948822857152 in words is "twelve trillion, nine hundred forty-eight billion, eight hundred twenty-two million, eight hundred fifty-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 257 364 416 448 514 728 832 1028 1456 1799 2056 2912 3341 3598 4112 5824 6682 7196 8224 13364 14392 16448 23387 26728 28784 46774 53456 57568 93548 106912 115136 187096 213824 374192 748384 1496768 8651189 17302378 34604756 60558323 69209512 112465457 121116646 138419024 224930914 242233292 276838048 449861828 484466584 553676096 787258199 899723656 968933168 1574516398 1799447312 1937866336 2223355573 3149032796 3598894624 3875732672 4446711146 6298065592 7197789248 8893422292 12596131184 15563489011 17786844584 25192262368 28903622449 31126978022 35573689168 50384524736 57807244898 62253956044 71147378336 115614489796 124507912088 142294756672 202325357143 231228979592 249015824176 404650714286 462457959184 498031648352 809301428572 924915918368 996063296704 1618602857144 1849831836736 3237205714288 6474411428576 12948822857152