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46004888340 = 223252929273011
BaseRepresentation
bin101010110110000110…
…101110001100010100
311101202011022110201100
4222312012232030110
51223204222411330
633045004230100
73216021045615
oct526606561424
9141664273640
1046004888340
1118568618584
128abab3b330
134452170328
142325ccdc0c
1512e3c88060
hexab61ae314

46004888340 has 144 divisors (see below), whose sum is σ = 144457447680. Its totient is φ = 11836957440.

The previous prime is 46004888339. The next prime is 46004888341. The reversal of 46004888340 is 4388840064.

46004888340 is a `hidden beast` number, since 4 + 600 + 4 + 8 + 8 + 8 + 34 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (46004888339) and next prime (46004888341).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46004888341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15277435 + ... + 15280445.

It is an arithmetic number, because the mean of its divisors is an integer number (1003176720).

Almost surely, 246004888340 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 46004888340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72228723840).

46004888340 is an abundant number, since it is smaller than the sum of its proper divisors (98452559340).

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

46004888340 is a wasteful number, since it uses less digits than its factorization.

46004888340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5982 (or 5977 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 46004888340 in words is "forty-six billion, four million, eight hundred eighty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 2927 3011 5220 5854 6022 8781 9033 11708 12044 14635 15055 17562 18066 26343 27099 29270 30110 35124 36132 43905 45165 52686 54198 58540 60220 84883 87319 87810 90330 105372 108396 131715 135495 169766 174638 175620 180660 254649 261957 263430 270990 339532 349276 424415 436595 509298 523914 526860 541980 763947 785871 848830 873190 1018596 1047828 1273245 1309785 1527894 1571742 1697660 1746380 2546490 2619570 3055788 3143484 3819735 3929355 5092980 5239140 7639470 7858710 8813197 15278940 15717420 17626394 26439591 35252788 44065985 52879182 79318773 88131970 105758364 132197955 158637546 176263940 255582713 264395910 317275092 396593865 511165426 528791820 766748139 793187730 1022330852 1277913565 1533496278 1586375460 2300244417 2555827130 3066992556 3833740695 4600488834 5111654260 7667481390 9200977668 11501222085 15334962780 23002444170 46004888340