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4674298125312 = 210321609315223
BaseRepresentation
bin100010000000101000111…
…1000010001110000000000
3121112212011212120120210100
41010001101320101300000
51103040430310002222
613535202023002400
7661464315335304
oct104012170216000
917485155516710
104674298125312
1115423a4484412
12635ab0b99400
1327ba274b46aa
14122346d95d04
15818c894c4ac
hex44051e11c00

4674298125312 has 132 divisors (see below), whose sum is σ = 13505365641040. Its totient is φ = 1557126070272.

The previous prime is 4674298125281. The next prime is 4674298125319. The reversal of 4674298125312 is 2135218924764.

It is a happy number.

4674298125312 is a `hidden beast` number, since 4 + 6 + 7 + 4 + 2 + 98 + 12 + 531 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4674298125319) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14670933 + ... + 14986155.

Almost surely, 24674298125312 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 4674298125312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6752682820520).

4674298125312 is an abundant number, since it is smaller than the sum of its proper divisors (8831067515728).

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

4674298125312 is a wasteful number, since it uses less digits than its factorization.

4674298125312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316858 (or 316837 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 4674298125312 in words is "four trillion, six hundred seventy-four billion, two hundred ninety-eight million, one hundred twenty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 1609 2304 3072 3218 4608 4827 6436 9216 9654 12872 14481 19308 25744 28962 38616 51488 57924 77232 102976 115848 154464 205952 231696 308928 315223 411904 463392 617856 630446 823808 926784 945669 1235712 1260892 1647616 1853568 1891338 2471424 2521784 2837007 3707136 3782676 4942848 5043568 5674014 7414272 7565352 10087136 11348028 14828544 15130704 20174272 22696056 30261408 40348544 45392112 60522816 80697088 90784224 121045632 161394176 181568448 242091264 322788352 363136896 484182528 507193807 726273792 968365056 1014387614 1452547584 1521581421 2028775228 2905095168 3043162842 4057550456 4564744263 6086325684 8115100912 9129488526 12172651368 16230201824 18258977052 24345302736 32460403648 36517954104 48690605472 64920807296 73035908208 97381210944 129841614592 146071816416 194762421888 259683229184 292143632832 389524843776 519366458368 584287265664 779049687552 1168574531328 1558099375104 2337149062656 4674298125312