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6146974656 = 263814639
BaseRepresentation
bin1011011100110001…
…10110001111000000
3120212101121200000000
411232120312033000
5100042111142111
62453543000000
7305220264624
oct55630661700
916771550000
106146974656
112674897049
121236739000
1376c678914
1442454b184
1525e9bac56
hex16e6363c0

6146974656 has 126 divisors (see below), whose sum is σ = 18297174480. Its totient is φ = 2048851584.

The previous prime is 6146974637. The next prime is 6146974661. The reversal of 6146974656 is 6564796416.

6146974656 is a `hidden beast` number, since 61 + 469 + 74 + 6 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 412585 + ... + 427223.

Almost surely, 26146974656 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 6146974656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9148587240).

6146974656 is an abundant number, since it is smaller than the sum of its proper divisors (12150199824).

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

6146974656 is an frugal number, since it uses more digits than its factorization.

6146974656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14675 (or 14644 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 6146974656 is about 78402.6444451971. The cubic root of 6146974656 is about 1831.8383246912.

The spelling of 6146974656 in words is "six billion, one hundred forty-six million, nine hundred seventy-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2187 2592 2916 3888 4374 5184 5832 6561 7776 8748 11664 13122 14639 15552 17496 23328 26244 29278 34992 43917 46656 52488 58556 69984 87834 104976 117112 131751 139968 175668 209952 234224 263502 351336 395253 419904 468448 527004 702672 790506 936896 1054008 1185759 1405344 1581012 2108016 2371518 2810688 3162024 3557277 4216032 4743036 6324048 7114554 8432064 9486072 10671831 12648096 14229108 18972144 21343662 25296192 28458216 32015493 37944288 42687324 56916432 64030986 75888576 85374648 96046479 113832864 128061972 170749296 192092958 227665728 256123944 341498592 384185916 512247888 682997184 768371832 1024495776 1536743664 2048991552 3073487328 6146974656