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46055631120 = 2435316190273
BaseRepresentation
bin101010111001001000…
…010010100100010000
311101212200210110201120
4222321020102210100
51223310220143440
633054020002240
73220205256012
oct527110224420
9141780713646
1046055631120
1118594226364
128b13b30380
13445c828845
14232c93c1b2
1512e845cdd0
hexab9212910

46055631120 has 80 divisors (see below), whose sum is σ = 147378043392. Its totient is φ = 11885322240.

The previous prime is 46055631079. The next prime is 46055631121. The reversal of 46055631120 is 2113655064.

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

It is a super-2 number, since 2×460556311202 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (46055631121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3087697 + ... + 3102576.

Almost surely, 246055631120 is an apocalyptic number.

46055631120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46055631120 is an abundant number, since it is smaller than the sum of its proper divisors (101322412272).

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

46055631120 is a wasteful number, since it uses less digits than its factorization.

46055631120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6190320 (or 6190314 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 46055631120 in words is "forty-six billion, fifty-five million, six hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 6190273 12380546 18570819 24761092 30951365 37141638 49522184 61902730 74283276 92854095 99044368 123805460 148566552 185708190 191898463 247610920 297133104 371416380 383796926 495221840 575695389 742832760 767593852 959492315 1151390778 1485665520 1535187704 1918984630 2302781556 2878476945 3070375408 3837969260 4605563112 5756953890 7675938520 9211126224 11513907780 15351877040 23027815560 46055631120