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46020709776 = 24341149156943
BaseRepresentation
bin101010110111000011…
…000100110110010000
311101210021002021122110
4222313003010312100
51223222300203101
633050331305320
73216302402346
oct526703046620
9141707067573
1046020709776
1118576544448
128b042ab240
13445551c822
14232804b996
1512e5360cd6
hexab70c4d90

46020709776 has 80 divisors (see below), whose sum is σ = 122604652800. Its totient is φ = 14865546240.

The previous prime is 46020709771. The next prime is 46020709811. The reversal of 46020709776 is 67790702064.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (46020709771) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214761 + ... + 371703.

It is an arithmetic number, because the mean of its divisors is an integer number (1532558160).

Almost surely, 246020709776 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 46020709776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61302326400).

46020709776 is an abundant number, since it is smaller than the sum of its proper divisors (76583943024).

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

46020709776 is a wasteful number, since it uses less digits than its factorization.

46020709776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157144 (or 157138 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 48.

The spelling of 46020709776 in words is "forty-six billion, twenty million, seven hundred nine thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 149 164 246 298 328 447 492 596 656 894 984 1192 1788 1968 2384 3576 6109 7152 12218 18327 24436 36654 48872 73308 97744 146616 156943 293232 313886 470829 627772 941658 1255544 1883316 2511088 3766632 6434663 7533264 12869326 19303989 23384507 25738652 38607978 46769014 51477304 70153521 77215956 93538028 102954608 140307042 154431912 187076056 280614084 308863824 374152112 561228168 958764787 1122456336 1917529574 2876294361 3835059148 5752588722 7670118296 11505177444 15340236592 23010354888 46020709776