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1377421460496 = 2436108672
BaseRepresentation
bin10100000010110100101…
…101111000010000010000
311212200100212111011000000
4110002310231320100100
5140031424343213441
62532440110130000
7201341534143164
oct24026455702020
94780325434000
101377421460496
11491185561394
121a2b537b0900
139cb75c61423
144a94baaaca4
1525c6ad522b6
hex140b4b78410

1377421460496 has 105 divisors (see below), whose sum is σ = 4001668938831. Its totient is φ = 459098235936.

The previous prime is 1377421460407. The next prime is 1377421460507. The reversal of 1377421460496 is 6940641247731.

The square root of 1377421460496 is 1173636.

It is a perfect power (a square), and thus also a powerful number.

1377421460496 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 4 + 2 + 146 + 0 + 496 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 126747255 + ... + 126758121.

Almost surely, 21377421460496 is an apocalyptic number.

1377421460496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1377421460496 is the 1173636-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1377421460496

1377421460496 is an abundant number, since it is smaller than the sum of its proper divisors (2624247478335).

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

1377421460496 is an frugal number, since it uses more digits than its factorization.

1377421460496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21760 (or 10872 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 1377421460496 in words is "one trillion, three hundred seventy-seven billion, four hundred twenty-one million, four hundred sixty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3888 5832 10867 11664 21734 32601 43468 65202 86936 97803 130404 173872 195606 260808 293409 391212 521616 586818 782424 880227 1173636 1564848 1760454 2347272 2640681 3520908 4694544 5281362 7041816 7922043 10562724 14083632 15844086 21125448 31688172 42250896 63376344 118091689 126752688 236183378 354275067 472366756 708550134 944733512 1062825201 1417100268 1889467024 2125650402 2834200536 3188475603 4251300804 5668401072 6376951206 8502601608 9565426809 12753902412 17005203216 19130853618 25507804824 28696280427 38261707236 51015609648 57392560854 76523414472 86088841281 114785121708 153046828944 172177682562 229570243416 344355365124 459140486832 688710730248 1377421460496