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470296994688 = 27321014042019
BaseRepresentation
bin1101101011111111110…
…00101010001110000000
31122221220210202200222200
412311333320222032000
530201132012312223
61000015040433200
745656253332253
oct6657770521600
91587823680880
10470296994688
111714a7435a24
1277191618800
133546c4708a1
1418a9640909a
15c378122a43
hex6d7fe2a380

470296994688 has 96 divisors (see below), whose sum is σ = 1366728222600. Its totient is φ = 155213491200.

The previous prime is 470296994627. The next prime is 470296994689. The reversal of 470296994688 is 886499692074.

470296994688 is a `hidden beast` number, since 4 + 70 + 2 + 9 + 6 + 99 + 468 + 8 = 666.

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 (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470296994689) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1904658 + ... + 2137361.

Almost surely, 2470296994688 is an apocalyptic number.

470296994688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

470296994688 is an abundant number, since it is smaller than the sum of its proper divisors (896431227912).

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

470296994688 is a wasteful number, since it uses less digits than its factorization.

470296994688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4042140 (or 4042125 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 470296994688 in words is "four hundred seventy billion, two hundred ninety-six million, nine hundred ninety-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 101 128 144 192 202 288 303 384 404 576 606 808 909 1152 1212 1616 1818 2424 3232 3636 4848 6464 7272 9696 12928 14544 19392 29088 38784 58176 116352 4042019 8084038 12126057 16168076 24252114 32336152 36378171 48504228 64672304 72756342 97008456 129344608 145512684 194016912 258689216 291025368 388033824 408243919 517378432 582050736 776067648 816487838 1164101472 1224731757 1552135296 1632975676 2328202944 2449463514 3265951352 3674195271 4656405888 4898927028 6531902704 7348390542 9797854056 13063805408 14696781084 19595708112 26127610816 29393562168 39191416224 52255221632 58787124336 78382832448 117574248672 156765664896 235148497344 470296994688