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6946056148941 = 3271317796315073
BaseRepresentation
bin110010100010100000100…
…1101011001011111001101
3220121000222121002102011200
41211011001031121133031
51402301010333231231
622434550225340113
71314556514045340
oct145050115313715
926530877072150
106946056148941
112238895681658
12942238197639
133b5019796330
141a0295c0a457
15c0a399c5be6
hex651413597cd

6946056148941 has 96 divisors (see below), whose sum is σ = 13240436751360. Its totient is φ = 3404682657792.

The previous prime is 6946056148939. The next prime is 6946056148987. The reversal of 6946056148941 is 1498416506496.

It is a happy number.

6946056148941 is a `hidden beast` number, since 6 + 9 + 4 + 6 + 0 + 5 + 614 + 8 + 9 + 4 + 1 = 666.

It is not a de Polignac number, because 6946056148941 - 21 = 6946056148939 is a prime.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6946056148931) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2057620 + ... + 4257453.

It is an arithmetic number, because the mean of its divisors is an integer number (137921216160).

Almost surely, 26946056148941 is an apocalyptic number.

It is an amenable number.

6946056148941 is a deficient number, since it is larger than the sum of its proper divisors (6294380602419).

6946056148941 is a wasteful number, since it uses less digits than its factorization.

6946056148941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6315195 (or 6315192 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 6946056148941 in words is "six trillion, nine hundred forty-six billion, fifty-six million, one hundred forty-eight thousand, nine hundred forty-one".

Divisors: 1 3 7 9 13 17 21 39 51 63 79 91 117 119 153 221 237 273 357 553 663 711 819 1027 1071 1343 1547 1659 1989 3081 4029 4641 4977 7189 9243 9401 12087 13923 17459 21567 28203 52377 64701 84609 122213 157131 366639 1099917 6315073 18945219 44205511 56835657 82095949 107356241 132616533 246287847 322068723 397849599 498890767 574671643 738863541 751493687 966206169 1395631133 1496672301 1724014929 2254481061 3492235369 4186893399 4490016903 5172044787 6485579971 6763443183 8481143039 9769417931 10476706107 12560680197 19456739913 25443429117 29308253793 31430118321 45399059797 58370219739 59368001273 76330287351 87924761379 110254859507 136197179391 178104003819 330764578521 408591538173 534312011457 771784016549 992293735563 2315352049647 6946056148941