Search a number
-
+
7137296640 = 28335206519
BaseRepresentation
bin1101010010110101…
…01000000100000000
3200102102002020101000
412221122220010000
5104104121443030
63140121012000
7341604010005
oct65132500400
920372066330
107137296640
1130328aa671
121472324000
138998a7966
144b9c998ac
152bb8d9860
hex1a96a8100

7137296640 has 144 divisors (see below), whose sum is σ = 25327612800. Its totient is φ = 1903269888.

The previous prime is 7137296623. The next prime is 7137296641. The reversal of 7137296640 is 466927317.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7137296641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68700 + ... + 137819.

It is an arithmetic number, because the mean of its divisors is an integer number (175886200).

Almost surely, 27137296640 is an apocalyptic number.

It is an amenable number.

7137296640 is an abundant number, since it is smaller than the sum of its proper divisors (18190316160).

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

7137296640 is a wasteful number, since it uses less digits than its factorization.

7137296640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206549 (or 206529 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 7137296640 is about 84482.5226896072. The cubic root of 7137296640 is about 1925.3569149862.

The spelling of 7137296640 in words is "seven billion, one hundred thirty-seven million, two hundred ninety-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 540 576 640 720 768 864 960 1080 1152 1280 1440 1728 1920 2160 2304 2880 3456 3840 4320 5760 6912 8640 11520 17280 34560 206519 413038 619557 826076 1032595 1239114 1652152 1858671 2065190 2478228 3097785 3304304 3717342 4130380 4956456 5576013 6195570 6608608 7434684 8260760 9293355 9912912 11152026 12391140 13217216 14869368 16521520 18586710 19825824 22304052 24782280 26434432 27880065 29738736 33043040 37173420 39651648 44608104 49564560 52868864 55760130 59477472 66086080 74346840 79303296 89216208 99129120 111520260 118954944 132172160 148693680 158606592 178432416 198258240 223040520 237909888 264344320 297387360 356864832 396516480 446081040 475819776 594774720 713729664 793032960 892162080 1189549440 1427459328 1784324160 2379098880 3568648320 7137296640