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1213021957968 = 24344321766831
BaseRepresentation
bin10001101001101101101…
…111100010111101010000
311021222000120211010010000
4101221231233202331100
5124333232110123333
62325130554210000
7153431546343042
oct21515557427520
94258016733100
101213021957968
114284922a9927
12177112723900
138a5063a7092
14429d3b6ba92
1521848028713
hex11a6dbe2f50

1213021957968 has 100 divisors (see below), whose sum is σ = 3592485020608. Its totient is φ = 394937363520.

The previous prime is 1213021957951. The next prime is 1213021957969. The reversal of 1213021957968 is 8697591203121.

It is a happy number.

1213021957968 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 0 + 2 + 1 + 9 + 579 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213021957969) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10827688 + ... + 10939143.

Almost surely, 21213021957968 is an apocalyptic number.

1213021957968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1213021957968 is an abundant number, since it is smaller than the sum of its proper divisors (2379463062640).

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

1213021957968 is a wasteful number, since it uses less digits than its factorization.

1213021957968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21766894 (or 21766879 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 1213021957968 in words is "one trillion, two hundred thirteen billion, twenty-one million, nine hundred fifty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 81 86 108 129 144 162 172 216 258 324 344 387 432 516 648 688 774 1032 1161 1296 1548 2064 2322 3096 3483 4644 6192 6966 9288 13932 18576 27864 55728 21766831 43533662 65300493 87067324 130600986 174134648 195901479 261201972 348269296 391802958 522403944 587704437 783605916 935973733 1044807888 1175408874 1567211832 1763113311 1871947466 2350817748 2807921199 3134423664 3526226622 3743894932 4701635496 5615842398 7052453244 7487789864 8423763597 9403270992 11231684796 14104906488 14975579728 16847527194 22463369592 25271290791 28209812976 33695054388 44926739184 50542581582 67390108776 75813872373 101085163164 134780217552 151627744746 202170326328 303255489492 404340652656 606510978984 1213021957968