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3366225225264 = 2431124311344743
BaseRepresentation
bin110000111111000010101…
…010001010011000110000
3102220210211000122022121010
4300333002222022120300
5420123012124202024
611054231133030520
7465126125211066
oct60770252123060
912823730568533
103366225225264
111088676422a00
12464492025440
131b5583a31625
14b8cd75a8036
155c86ae2bb29
hex30fc2a8a630

3366225225264 has 120 divisors (see below), whose sum is σ = 9580687796736. Its totient is φ = 1017700745600.

The previous prime is 3366225225263. The next prime is 3366225225271. The reversal of 3366225225264 is 4625225226633.

It is a super-2 number, since 2×33662252252642 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3366225225263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1830877 + ... + 3175619.

Almost surely, 23366225225264 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 3366225225264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4790343898368).

3366225225264 is an abundant number, since it is smaller than the sum of its proper divisors (6214462571472).

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

3366225225264 is a wasteful number, since it uses less digits than its factorization.

3366225225264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345207 (or 1345190 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 48.

The spelling of 3366225225264 in words is "three trillion, three hundred sixty-six billion, two hundred twenty-five million, two hundred twenty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 431 484 528 726 862 968 1293 1452 1724 1936 2586 2904 3448 4741 5172 5808 6896 9482 10344 14223 18964 20688 28446 37928 52151 56892 75856 104302 113784 156453 208604 227568 312906 417208 625812 834416 1251624 1344743 2503248 2689486 4034229 5378972 8068458 10757944 14792173 16136916 21515888 29584346 32273832 44376519 59168692 64547664 88753038 118337384 162713903 177506076 236674768 325427806 355012152 488141709 579584233 650855612 710024304 976283418 1159168466 1301711224 1738752699 1952566836 2318336932 2603422448 3477505398 3905133672 4636673864 6375426563 6955010796 7810267344 9273347728 12750853126 13910021592 19126279689 25501706252 27820043184 38252559378 51003412504 70129692193 76505118756 102006825008 140259384386 153010237512 210389076579 280518768772 306020475024 420778153158 561037537544 841556306316 1122075075088 1683112612632 3366225225264