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46880000132 = 22719711398929
BaseRepresentation
bin101011101010010001…
…000000100010000100
311111000010222202102012
4223222101000202010
51232002240001012
633311505033352
73246505266140
oct535221004204
9144003882365
1046880000132
11189775a0a69
129104025858
134561561664
1423aa20c220
1513459ea622
hexaea440884

46880000132 has 96 divisors (see below), whose sum is σ = 100816128000. Its totient is φ = 18628807680.

The previous prime is 46880000081. The next prime is 46880000137. The reversal of 46880000132 is 23100008864.

It is not an unprimeable number, because it can be changed into a prime (46880000137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5245844 + ... + 5254772.

It is an arithmetic number, because the mean of its divisors is an integer number (1050168000).

Almost surely, 246880000132 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 46880000132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50408064000).

46880000132 is an abundant number, since it is smaller than the sum of its proper divisors (53936127868).

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

46880000132 is a wasteful number, since it uses less digits than its factorization.

46880000132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9169 (or 9167 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

Adding to 46880000132 its reverse (23100008864), we get a palindrome (69980008996).

The spelling of 46880000132 in words is "forty-six billion, eight hundred eighty million, one hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 4 7 14 19 28 38 71 76 133 139 142 266 278 284 497 532 556 973 994 1349 1946 1988 2641 2698 3892 5282 5396 8929 9443 9869 10564 17858 18487 18886 19738 35716 36974 37772 39476 62503 69083 73948 125006 138166 169651 187511 250012 276332 339302 375022 633959 678604 750044 1187557 1241131 1267918 1312577 2375114 2482262 2535836 2625154 4437713 4750228 4964524 5250308 8687917 8875426 12045221 17375834 17750852 23581489 24090442 34751668 47162978 48180884 84316547 88120301 94325956 165070423 168633094 176240602 330140846 337266188 352481204 616842107 660281692 1233684214 1674285719 2467368428 3348571438 6697142876 11720000033 23440000066 46880000132