Search a number
-
+
672351802464 = 253197241147517
BaseRepresentation
bin10011100100010110100…
…10100101010001100000
32101021110100112102211210
421302023102211101200
542003434030134324
61232512452310120
766401335011426
oct11621322452140
92337410472753
10672351802464
1123a163078671
12aa381312340
134b5303b6944
1424783371116
1512751b83d29
hex9c8b4a5460

672351802464 has 96 divisors (see below), whose sum is σ = 1781255066976. Its totient is φ = 222052884480.

The previous prime is 672351802427. The next prime is 672351802471. The reversal of 672351802464 is 464208153276.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4484034 + ... + 4631550.

It is an arithmetic number, because the mean of its divisors is an integer number (18554740281).

Almost surely, 2672351802464 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 672351802464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890627533488).

672351802464 is an abundant number, since it is smaller than the sum of its proper divisors (1108903264512).

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

672351802464 is a wasteful number, since it uses less digits than its factorization.

672351802464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147968 (or 147960 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 672351802464 in words is "six hundred seventy-two billion, three hundred fifty-one million, eight hundred two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 197 241 394 482 591 723 788 964 1182 1446 1576 1928 2364 2892 3152 3856 4728 5784 6304 7712 9456 11568 18912 23136 47477 94954 142431 147517 189908 284862 295034 379816 442551 569724 590068 759632 885102 1139448 1180136 1519264 1770204 2278896 2360272 3540408 4557792 4720544 7080816 14161632 29060849 35551597 58121698 71103194 87182547 106654791 116243396 142206388 174365094 213309582 232486792 284412776 348730188 426619164 464973584 568825552 697460376 853238328 929947168 1137651104 1394920752 1706476656 2789841504 3412953312 7003664609 14007329218 21010993827 28014658436 42021987654 56029316872 84043975308 112058633744 168087950616 224117267488 336175901232 672351802464