Search a number
-
+
1370077635472 = 247135391119489
BaseRepresentation
bin10011111011111110111…
…111011010001110010000
311211222102001210011221121
4103323332333122032100
5134421404333313342
62525223250332024
7200661541515460
oct23737677321620
94758361704847
101370077635472
1148905711aa07
121a164428a014
139c275654b30
144a45260dba0
152598b26e067
hex13efefda390

1370077635472 has 160 divisors (see below), whose sum is σ = 3332576701440. Its totient is φ = 531171164160.

The previous prime is 1370077635469. The next prime is 1370077635473. The reversal of 1370077635472 is 2745367700731.

It is a super-2 number, since 2×13700776354722 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (1370077635473) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70290304 + ... + 70309792.

It is an arithmetic number, because the mean of its divisors is an integer number (20828604384).

Almost surely, 21370077635472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1370077635472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666288350720).

1370077635472 is an abundant number, since it is smaller than the sum of its proper divisors (1962499065968).

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

1370077635472 is a wasteful number, since it uses less digits than its factorization.

1370077635472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20481 (or 20475 counting only the distinct ones).

The product of its (nonzero) digits is 5186160, while the sum is 52.

The spelling of 1370077635472 in words is "one trillion, three hundred seventy billion, seventy-seven million, six hundred thirty-five thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 53 56 91 104 106 112 182 208 212 364 371 424 689 728 742 848 911 1378 1456 1484 1822 2756 2968 3644 4823 5512 5936 6377 7288 9646 11024 11843 12754 14576 19292 19489 23686 25508 38584 38978 47372 48283 51016 77168 77956 82901 94744 96566 102032 136423 155912 165802 189488 193132 253357 272846 311824 331604 337981 386264 506714 545692 627679 663208 675962 772528 1013428 1032917 1091384 1255358 1326416 1351924 1773499 2026856 2065834 2182768 2510716 2703848 3546998 4053712 4131668 4393753 5021432 5407696 7093996 7230419 8263336 8787506 10042864 13427921 14187992 14460838 16526672 17575012 17754479 26855842 28375984 28921676 35150024 35508958 53711684 57843352 70300048 71017916 93995447 107423368 115686704 124281353 142035832 187990894 214846736 230808227 248562706 284071664 375981788 461616454 497125412 751963576 923232908 940987387 994250824 1503927152 1615657589 1846465816 1881974774 1988501648 3231315178 3692931632 3763949548 6462630356 6586911709 7527899096 12232836031 12925260712 13173823418 15055798192 24465672062 25850521424 26347646836 48931344124 52695293672 85629852217 97862688248 105390587344 171259704434 195725376496 342519408868 685038817736 1370077635472