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1157456049300 = 2232523257394861
BaseRepresentation
bin10000110101111101110…
…000011011010010010100
311002122121002202111011200
4100311331300123102110
5122430432222034200
62243421124032500
7146423561042235
oct20657560332224
94078532674150
101157456049300
11406968846261
121683a5832730
13851bc488195
144004214908c
1520194be5800
hex10d7dc1b494

1157456049300 has 108 divisors (see below), whose sum is σ = 3629104777116. Its totient is φ = 308559398400.

The previous prime is 1157456049289. The next prime is 1157456049377. The reversal of 1157456049300 is 39406547511.

1157456049300 is a `hidden beast` number, since 1 + 1 + 5 + 7 + 4 + 5 + 604 + 9 + 30 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 15832182276 + 1141623867024 = 125826^2 + 1068468^2 .

It is a super-2 number, since 2×11574560493002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2733870 + ... + 3128730.

Almost surely, 21157456049300 is an apocalyptic number.

1157456049300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1157456049300 is an abundant number, since it is smaller than the sum of its proper divisors (2471648727816).

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

1157456049300 is a wasteful number, since it uses less digits than its factorization.

1157456049300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398138 (or 398128 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 1157456049300 in words is "one trillion, one hundred fifty-seven billion, four hundred fifty-six million, forty-nine thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 3257 6514 9771 13028 16285 19542 29313 32570 39084 48855 58626 65140 81425 97710 117252 146565 162850 195420 244275 293130 325700 394861 488550 586260 732825 789722 977100 1184583 1465650 1579444 1974305 2369166 2931300 3553749 3948610 4738332 5922915 7107498 7897220 9871525 11845830 14214996 17768745 19743050 23691660 29614575 35537490 39486100 59229150 71074980 88843725 118458300 177687450 355374900 1286062277 2572124554 3858186831 5144249108 6430311385 7716373662 11574560493 12860622770 15432747324 19290934155 23149120986 25721245540 32151556925 38581868310 46298241972 57872802465 64303113850 77163736620 96454670775 115745604930 128606227700 192909341550 231491209860 289364012325 385818683100 578728024650 1157456049300