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10464355000 = 235411190261
BaseRepresentation
bin10011011111011100…
…10110001010111000
31000000021112022102201
421233232112022320
5132412333330000
64450211235544
7520213356421
oct115756261270
930007468381
1010464355000
11448a945880
1220405a8bb4
13ca9c72048
14713aba648
15413a3496a
hex26fb962b8

10464355000 has 80 divisors (see below), whose sum is σ = 26747031960. Its totient is φ = 3805200000.

The previous prime is 10464354959. The next prime is 10464355007. The reversal of 10464355000 is 55346401.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10464355000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10464355007) 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, 40131 + ... + 150130.

Almost surely, 210464355000 is an apocalyptic number.

10464355000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10464355000 is an abundant number, since it is smaller than the sum of its proper divisors (16282676960).

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

10464355000 is a wasteful number, since it uses less digits than its factorization.

10464355000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190298 (or 190279 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The spelling of 10464355000 in words is "ten billion, four hundred sixty-four million, three hundred fifty-five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 625 1000 1100 1250 1375 2200 2500 2750 5000 5500 6875 11000 13750 27500 55000 190261 380522 761044 951305 1522088 1902610 2092871 3805220 4185742 4756525 7610440 8371484 9513050 10464355 16742968 19026100 20928710 23782625 38052200 41857420 47565250 52321775 83714840 95130500 104643550 118913125 190261000 209287100 237826250 261608875 418574200 475652500 523217750 951305000 1046435500 1308044375 2092871000 2616088750 5232177500 10464355000