Search a number
-
+
6930072688 = 2471122691901
BaseRepresentation
bin1100111010001000…
…01000010001110000
3122212222011011112211
412131010020101300
5103143044311223
63103355301504
7333506434360
oct63504102160
918788134484
106930072688
112a36933200
121414a4a894
13865991536
1449a5569a0
152a8604d0d
hex19d108470

6930072688 has 120 divisors (see below), whose sum is σ = 16938603360. Its totient is φ = 2688576000.

The previous prime is 6930072631. The next prime is 6930072713. The reversal of 6930072688 is 8862700396.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3644538 + ... + 3646438.

It is an arithmetic number, because the mean of its divisors is an integer number (141155028).

Almost surely, 26930072688 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 6930072688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8469301680).

6930072688 is an abundant number, since it is smaller than the sum of its proper divisors (10008530672).

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

6930072688 is a wasteful number, since it uses less digits than its factorization.

6930072688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2207 (or 2190 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

The square root of 6930072688 is about 83247.0581342068. The cubic root of 6930072688 is about 1906.5400376126.

The spelling of 6930072688 in words is "six billion, nine hundred thirty million, seventy-two thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 121 154 176 242 269 308 484 538 616 847 968 1076 1232 1694 1883 1901 1936 2152 2959 3388 3766 3802 4304 5918 6776 7532 7604 11836 13307 13552 15064 15208 20713 20911 23672 26614 30128 30416 32549 41426 41822 47344 53228 65098 82852 83644 106456 130196 146377 165704 167288 212912 227843 230021 260392 292754 331408 334576 455686 460042 511369 520784 585508 911372 920084 1022738 1171016 1610147 1822744 1840168 2045476 2342032 3220294 3579583 3645488 3680336 4090952 5625059 6440588 7159166 8181904 11250118 12881176 14318332 22500236 25762352 28636664 39375413 45000472 57273328 61875649 78750826 90000944 123751298 157501652 247502596 315003304 433129543 495005192 630006608 866259086 990010384 1732518172 3465036344 6930072688