Search a number
-
+
9774070629760 = 275311051468739
BaseRepresentation
bin1000111000111011010000…
…0000100000010110000000
31021121101120210021002020001
42032032310000200112000
52240114244040123020
632442051314325344
72026103403363553
oct216166400402600
937541523232201
109774070629760
113129184074218
12111a344589854
1355b8c9bc5028
1425b0d34a069a
1511e3a541c50a
hex8e3b4020580

9774070629760 has 128 divisors (see below), whose sum is σ = 24142884940800. Its totient is φ = 3779903232000.

The previous prime is 9774070629709. The next prime is 9774070629761. The reversal of 9774070629760 is 679260704779.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 9774070629692 and 9774070629701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9774070629761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20617471 + ... + 21086209.

It is an arithmetic number, because the mean of its divisors is an integer number (188616288600).

Almost surely, 29774070629760 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 9774070629760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12071442470400).

9774070629760 is an abundant number, since it is smaller than the sum of its proper divisors (14368814311040).

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

9774070629760 is a wasteful number, since it uses less digits than its factorization.

9774070629760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469840 (or 469828 counting only the distinct ones).

The product of its (nonzero) digits is 56010528, while the sum is 64.

The spelling of 9774070629760 in words is "nine trillion, seven hundred seventy-four billion, seventy million, six hundred twenty-nine thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 310 320 496 620 640 992 1051 1240 1984 2102 2480 3968 4204 4960 5255 8408 9920 10510 16816 19840 21020 32581 33632 42040 65162 67264 84080 130324 134528 162905 168160 260648 325810 336320 468739 521296 651620 672640 937478 1042592 1303240 1874956 2085184 2343695 2606480 3749912 4170368 4687390 5212960 7499824 9374780 10425920 14530909 14999648 18749560 20851840 29061818 29999296 37499120 58123636 59998592 72654545 74998240 116247272 145309090 149996480 232494544 290618180 299992960 464989088 492644689 581236360 929978176 985289378 1162472720 1859956352 1970578756 2324945440 2463223445 3941157512 4649890880 4926446890 7882315024 9299781760 9852893780 15271985359 15764630048 19705787560 30543970718 31529260096 39411575120 61087941436 63058520192 76359926795 78823150240 122175882872 152719853590 157646300480 244351765744 305439707180 315292600960 488703531488 610879414360 977407062976 1221758828720 1954814125952 2443517657440 4887035314880 9774070629760