Search a number
-
+
6122472960 = 29352812837
BaseRepresentation
bin1011011001110110…
…11000011000000000
3120210200111211222210
411230323120120000
5100014323113320
62451305502120
7304502106252
oct55473303000
916720454883
106122472960
112661a8160a
12122a4a1940
1376757a486
144211adcd2
1525c77b0e0
hex16ced8600

6122472960 has 160 divisors (see below), whose sum is σ = 19649358432. Its totient is φ = 1626275840.

The previous prime is 6122472947. The next prime is 6122472997. The reversal of 6122472960 is 692742216.

It is a tau number, because it is divible by the number of its divisors (160).

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, 2156662 + ... + 2159498.

Almost surely, 26122472960 is an apocalyptic number.

6122472960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6122472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9824679216).

6122472960 is an abundant number, since it is smaller than the sum of its proper divisors (13526885472).

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

6122472960 is a wasteful number, since it uses less digits than its factorization.

6122472960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3144 (or 3128 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 6122472960 is about 78246.2328805675. The cubic root of 6122472960 is about 1829.4011955850.

The spelling of 6122472960 in words is "six billion, one hundred twenty-two million, four hundred seventy-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 281 320 384 480 512 562 640 768 843 960 1124 1280 1405 1536 1686 1920 2248 2560 2810 2837 3372 3840 4215 4496 5620 5674 6744 7680 8430 8511 8992 11240 11348 13488 14185 16860 17022 17984 22480 22696 26976 28370 33720 34044 35968 42555 44960 45392 53952 56740 67440 68088 71936 85110 89920 90784 107904 113480 134880 136176 143872 170220 179840 181568 215808 226960 269760 272352 340440 359680 363136 431616 453920 539520 544704 680880 719360 726272 797197 907840 1079040 1089408 1361760 1452544 1594394 1815680 2158080 2178816 2391591 2723520 3188788 3631360 3985985 4357632 4783182 5447040 6377576 7262720 7971970 9566364 10894080 11957955 12755152 15943940 19132728 21788160 23915910 25510304 31887880 38265456 47831820 51020608 63775760 76530912 95663640 102041216 127551520 153061824 191327280 204082432 255103040 306123648 382654560 408164864 510206080 612247296 765309120 1020412160 1224494592 1530618240 2040824320 3061236480 6122472960