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46234046412 = 223231131521607
BaseRepresentation
bin101011000011110000…
…111000111111001100
311102100010111220111100
4223003300320333030
51224141403441122
633123432023100
73224502624141
oct530360707714
9142303456440
1046234046412
1118675a06414
128b63831a90
13448a796318
1423485023c8
151308e51aac
hexac3c38fcc

46234046412 has 144 divisors (see below), whose sum is σ = 121994256384. Its totient is φ = 14747616000.

The previous prime is 46234046399. The next prime is 46234046423. The reversal of 46234046412 is 21464043264.

46234046412 is a `hidden beast` number, since 4 + 6 + 2 + 3 + 4 + 0 + 4 + 641 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76167813 + ... + 76168419.

It is an arithmetic number, because the mean of its divisors is an integer number (847182336).

Almost surely, 246234046412 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 46234046412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60997128192).

46234046412 is an abundant number, since it is smaller than the sum of its proper divisors (75760209972).

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

46234046412 is a wasteful number, since it uses less digits than its factorization.

46234046412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 46234046412 its reverse (21464043264), we get a palindrome (67698089676).

The spelling of 46234046412 in words is "forty-six billion, two hundred thirty-four million, forty-six thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 131 186 262 279 372 393 521 524 558 607 786 1042 1116 1179 1214 1563 1572 1821 2084 2358 2428 3126 3642 4061 4689 4716 5463 6252 7284 8122 9378 10926 12183 16151 16244 18756 18817 21852 24366 32302 36549 37634 48453 48732 56451 64604 68251 73098 75268 79517 96906 112902 136502 145359 146196 159034 169353 193812 204753 225804 238551 273004 290718 316247 318068 338706 409506 477102 581436 614259 632494 677412 715653 819012 948741 954204 1228518 1264988 1431306 1897482 2115781 2457036 2465027 2846223 2862612 3794964 4231562 4930054 5692446 6347343 7395081 8463124 9803657 9860108 11384892 12694686 14790162 19042029 19607314 22185243 25389372 29410971 29580324 38084058 39214628 41428357 44370486 58821942 76168116 82856714 88232913 88740972 117643884 124285071 165713428 176465826 248570142 352931652 372855213 497140284 745710426 1284279067 1491420852 2568558134 3852837201 5137116268 7705674402 11558511603 15411348804 23117023206 46234046412