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46243928960 = 2752913191889
BaseRepresentation
bin101011000100010110…
…100101101110000000
311102100211002222210122
4223010112211232000
51224201421211320
633124423515412
73224652624215
oct530426455600
9142324088718
1046243928960
1118680546309
128b66bb8b68
13448c846598
142349955b0c
151309c54d25
hexac45a5b80

46243928960 has 128 divisors (see below), whose sum is σ = 114511320000. Its totient is φ = 17836736512.

The previous prime is 46243928957. The next prime is 46243928963. The reversal of 46243928960 is 6982934264.

It is an interprime number because it is at equal distance from previous prime (46243928957) and next prime (46243928963).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46243928963) 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, 24479696 + ... + 24481584.

Almost surely, 246243928960 is an apocalyptic number.

46243928960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46243928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57255660000).

46243928960 is an abundant number, since it is smaller than the sum of its proper divisors (68267391040).

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

46243928960 is a wasteful number, since it uses less digits than its factorization.

46243928960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3256 (or 3244 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 53.

The spelling of 46243928960 in words is "forty-six billion, two hundred forty-three million, nine hundred twenty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 290 320 464 580 640 928 1160 1319 1856 1889 2320 2638 3712 3778 4640 5276 6595 7556 9280 9445 10552 13190 15112 18560 18890 21104 26380 30224 37780 38251 42208 52760 54781 60448 75560 76502 84416 105520 109562 120896 151120 153004 168832 191255 211040 219124 241792 273905 302240 306008 382510 422080 438248 547810 604480 612016 765020 844160 876496 1095620 1208960 1224032 1530040 1752992 2191240 2448064 2491591 3060080 3505984 4382480 4896128 4983182 6120160 7011968 8764960 9966364 12240320 12457955 17529920 19932728 24480640 24915910 35059840 39865456 49831820 72256139 79730912 99663640 144512278 159461824 199327280 289024556 318923648 361280695 398654560 578049112 722561390 797309120 1156098224 1445122780 1594618240 2312196448 2890245560 4624392896 5780491120 9248785792 11560982240 23121964480 46243928960