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46689765336 = 233549948131
BaseRepresentation
bin101011011110111011…
…010100011111011000
311110111220000211100000
4223132323110133120
51231110034442321
633240551413000
73242005312554
oct533673243730
9143456024300
1046689765336
111888a178825
129070384160
1345310160a6
14238cc4c864
151333e6e826
hexadeed47d8

46689765336 has 96 divisors (see below), whose sum is σ = 131400360000. Its totient is φ = 15531743520.

The previous prime is 46689765307. The next prime is 46689765337. The reversal of 46689765336 is 63356798664.

It is a happy number.

46689765336 is a `hidden beast` number, since 4 + 6 + 6 + 8 + 97 + 6 + 533 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46689765337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 945991 + ... + 994121.

It is an arithmetic number, because the mean of its divisors is an integer number (1368753750).

Almost surely, 246689765336 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 46689765336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65700180000).

46689765336 is an abundant number, since it is smaller than the sum of its proper divisors (84710594664).

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

46689765336 is a wasteful number, since it uses less digits than its factorization.

46689765336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48651 (or 48635 counting only the distinct ones).

The product of its digits is 117573120, while the sum is 63.

The spelling of 46689765336 in words is "forty-six billion, six hundred eighty-nine million, seven hundred sixty-five thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 499 648 972 998 1497 1944 1996 2994 3992 4491 5988 8982 11976 13473 17964 26946 35928 40419 48131 53892 80838 96262 107784 121257 144393 161676 192524 242514 288786 323352 385048 433179 485028 577572 866358 970056 1155144 1299537 1732716 2599074 3465432 3898611 5198148 7797222 10396296 11695833 15594444 23391666 24017369 31188888 46783332 48034738 72052107 93566664 96069476 144104214 192138952 216156321 288208428 432312642 576416856 648468963 864625284 1296937926 1729250568 1945406889 2593875852 3890813778 5187751704 5836220667 7781627556 11672441334 15563255112 23344882668 46689765336