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3481053100272 = 24321110957200569
BaseRepresentation
bin110010101001111110111…
…011101111100011110000
3110022210012120112202102200
4302221332323233203300
5424013144043202042
611223101304543200
7506332512066636
oct62517673574360
913283176482380
103481053100272
1111223407a6a60
12482799781b00
131c33535127b7
14c06aba45356
156083bccac4c
hex32a7eeef8f0

3481053100272 has 120 divisors (see below), whose sum is σ = 10628783546160. Its totient is φ = 1054763043840.

The previous prime is 3481053100271. The next prime is 3481053100289. The reversal of 3481053100272 is 2720013501843.

3481053100272 is a `hidden beast` number, since 3 + 48 + 10 + 531 + 0 + 0 + 2 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3481053100271) 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, 17255604 + ... + 17456172.

It is an arithmetic number, because the mean of its divisors is an integer number (88573196218).

Almost surely, 23481053100272 is an apocalyptic number.

It is an amenable number.

3481053100272 is an abundant number, since it is smaller than the sum of its proper divisors (7147730445888).

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

3481053100272 is a wasteful number, since it uses less digits than its factorization.

3481053100272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211551 (or 211542 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 3481053100272 in words is "three trillion, four hundred eighty-one billion, fifty-three million, one hundred thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 10957 21914 32871 43828 65742 87656 98613 120527 131484 175312 197226 200569 241054 262968 361581 394452 401138 482108 525936 601707 723162 788904 802276 964216 1084743 1203414 1446324 1577808 1604552 1805121 1928432 2169486 2206259 2406828 2892648 3209104 3610242 4338972 4412518 4813656 5785296 6618777 7220484 8677944 8825036 9627312 13237554 14440968 17355888 17650072 19856331 26475108 28881936 35300144 39712662 52950216 79425324 105900432 158850648 317701296 2197634533 4395269066 6592903599 8790538132 13185807198 17581076264 19778710797 24173979863 26371614396 35162152528 39557421594 48347959726 52743228792 72521939589 79114843188 96695919452 105486457584 145043879178 158229686376 193391838904 217565818767 290087758356 316459372752 386783677808 435131637534 580175516712 870263275068 1160351033424 1740526550136 3481053100272