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46700117343440 = 24511101525428863
BaseRepresentation
bin10101001111001001101111…
…11001111011110011010000
320010100111011110202121212222
422213210313321323303100
522110113320014442230
6243153423203440212
712556654304556461
oct1247446771736320
9203314143677788
1046700117343440
1113975454852a70
1252a2966986068
132009a5749b182
14b76424dd6d68
1555eb9d1da6e5
hex2a7937e7bcd0

46700117343440 has 80 divisors (see below), whose sum is σ = 119621236893696. Its totient is φ = 16813723584000.

The previous prime is 46700117343403. The next prime is 46700117343457. The reversal of 46700117343440 is 4434371100764.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×467001173434402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 46700117343391 and 46700117343400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262625552 + ... + 262803311.

Almost surely, 246700117343440 is an apocalyptic number.

46700117343440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46700117343440 is an abundant number, since it is smaller than the sum of its proper divisors (72921119550256).

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

46700117343440 is a wasteful number, since it uses less digits than its factorization.

46700117343440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525428988 (or 525428982 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 44.

The spelling of 46700117343440 in words is "forty-six trillion, seven hundred billion, one hundred seventeen million, three hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 101 110 176 202 220 404 440 505 808 880 1010 1111 1616 2020 2222 4040 4444 5555 8080 8888 11110 17776 22220 44440 88880 525428863 1050857726 2101715452 2627144315 4203430904 5254288630 5779717493 8406861808 10508577260 11559434986 21017154520 23118869972 28898587465 42034309040 46237739944 53068315163 57797174930 92475479888 106136630326 115594349860 212273260652 231188699720 265341575815 424546521304 462377399440 530683151630 583751466793 849093042608 1061366303260 1167502933586 2122732606520 2335005867172 2918757333965 4245465213040 4670011734344 5837514667930 9340023468688 11675029335860 23350058671720 46700117343440