Search a number
-
+
684734992395648 = 2737922571696743
BaseRepresentation
bin1001101110110000110100100…
…1111111001010110110000000
310022210110000200221022011201220
42123230031021333022312000
51204222144231023130043
610424150525104555040
7264141320302602435
oct23354151177126600
93283400627264656
10684734992395648
111891a5530226097
126496a28b622a80
132350c304394b4c
14c1134c9953b8c
1554267ddbe6483
hex26ec349fcad80

684734992395648 has 64 divisors (see below), whose sum is σ = 1841850454310400. Its totient is φ = 225355820272128.

The previous prime is 684734992395613. The next prime is 684734992395661. The reversal of 684734992395648 is 846593299437486.

684734992395648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×6847349923956482 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11285818036 + ... + 11285878707.

It is an arithmetic number, because the mean of its divisors is an integer number (28778913348600).

Almost surely, 2684734992395648 is an apocalyptic number.

It is an amenable number.

684734992395648 is an abundant number, since it is smaller than the sum of its proper divisors (1157115461914752).

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

684734992395648 is a wasteful number, since it uses less digits than its factorization.

684734992395648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22571696839 (or 22571696827 counting only the distinct ones).

The product of its digits is 67722117120, while the sum is 87.

The spelling of 684734992395648 in words is "six hundred eighty-four trillion, seven hundred thirty-four billion, nine hundred ninety-two million, three hundred ninety-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 316 384 474 632 948 1264 1896 2528 3792 5056 7584 10112 15168 30336 22571696743 45143393486 67715090229 90286786972 135430180458 180573573944 270860360916 361147147888 541720721832 722294295776 1083441443664 1444588591552 1783164042697 2166882887328 2889177183104 3566328085394 4333765774656 5349492128091 7132656170788 8667531549312 10698984256182 14265312341576 21397968512364 28530624683152 42795937024728 57061249366304 85591874049456 114122498732608 171183748098912 228244997465216 342367496197824 684734992395648