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46231983616 = 297131758369
BaseRepresentation
bin101011000011101001…
…000001011000000000
311102022222122002212111
4223003221001120000
51224140341433431
633123315505104
73224446243150
oct530351013000
9142288562774
1046231983616
1118674827625
128b62bb8194
13448a223430
142348126760
151308b957b1
hexac3a41600

46231983616 has 160 divisors (see below), whose sum is σ = 120380420160. Its totient is φ = 17213423616.

The previous prime is 46231983607. The next prime is 46231983619. The reversal of 46231983616 is 61638913264.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 46231983616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46231983619) 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, 762880 + ... + 821248.

It is an arithmetic number, because the mean of its divisors is an integer number (752377626).

Almost surely, 246231983616 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 46231983616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60190210080).

46231983616 is an abundant number, since it is smaller than the sum of its proper divisors (74148436544).

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

46231983616 is a wasteful number, since it uses less digits than its factorization.

46231983616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58424 (or 58408 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 49.

The spelling of 46231983616 in words is "forty-six billion, two hundred thirty-one million, nine hundred eighty-three thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 32 34 52 56 64 68 91 104 112 119 128 136 182 208 221 224 238 256 272 364 416 442 448 476 512 544 728 832 884 896 952 1088 1456 1547 1664 1768 1792 1904 2176 2912 3094 3328 3536 3584 3808 4352 5824 6188 6656 7072 7616 8704 11648 12376 14144 15232 23296 24752 28288 30464 46592 49504 56576 58369 60928 99008 113152 116738 198016 233476 396032 408583 466952 758797 792064 817166 933904 992273 1517594 1634332 1867808 1984546 3035188 3268664 3735616 3969092 5311579 6070376 6537328 6945911 7471232 7938184 10623158 12140752 12899549 13074656 13891822 14942464 15876368 21246316 24281504 25799098 26149312 27783644 29884928 31752736 42492632 48563008 51598196 52298624 55567288 63505472 84985264 90296843 97126016 103196392 104597248 111134576 127010944 169970528 180593686 194252032 206392784 209194496 222269152 254021888 339941056 361187372 388504064 412785568 444538304 508043776 679882112 722374744 825571136 889076608 1359764224 1444749488 1651142272 1778153216 2719528448 2889498976 3302284544 3556306432 5778997952 6604569088 11557995904 23115991808 46231983616