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10734083472 = 2437493139
BaseRepresentation
bin10011111111100110…
…10001110110010000
31000201002001221100010
421333303101312100
5133440411132342
64533044354520
7530000130000
oct117763216620
930632057303
1010734083472
114609123872
1220b69a5a40
131020b013a8
1473b850000
1542c56429c
hex27fcd1d90

10734083472 has 100 divisors (see below), whose sum is σ = 32349757360. Its totient is φ = 3066848064.

The previous prime is 10734083429. The next prime is 10734083473. The reversal of 10734083472 is 27438043701.

It is a self number, because there is not a number n which added to its sum of digits gives 10734083472.

It is not an unprimeable number, because it can be changed into a prime (10734083473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 68679 + ... + 161817.

Almost surely, 210734083472 is an apocalyptic number.

10734083472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10734083472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16174878680).

10734083472 is an abundant number, since it is smaller than the sum of its proper divisors (21615673888).

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

10734083472 is an frugal number, since it uses more digits than its factorization.

10734083472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93178 (or 93151 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The spelling of 10734083472 in words is "ten billion, seven hundred thirty-four million, eighty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 343 392 588 686 784 1029 1176 1372 2058 2352 2401 2744 4116 4802 5488 7203 8232 9604 14406 16464 19208 28812 38416 57624 93139 115248 186278 279417 372556 558834 651973 745112 1117668 1303946 1490224 1955919 2235336 2607892 3911838 4470672 4563811 5215784 7823676 9127622 10431568 13691433 15647352 18255244 27382866 31294704 31946677 36510488 54765732 63893354 73020976 95840031 109531464 127786708 191680062 219062928 223626739 255573416 383360124 447253478 511146832 670880217 766720248 894506956 1341760434 1533440496 1789013912 2683520868 3578027824 5367041736 10734083472