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2868884866296 = 233347965342463
BaseRepresentation
bin101001101111110110110…
…111010000010011111000
3101011021002112000100222000
4221233312313100103320
5334000434011210141
610033540355101000
7414161433003051
oct51576667202370
911137075010860
102868884866296
11a06761796149
123a40138a1760
1317a6c4909257
149cbd76ad728
154e95da5a5b6
hex29bf6dd04f8

2868884866296 has 128 divisors (see below), whose sum is σ = 7998179328000. Its totient is φ = 952814669184.

The previous prime is 2868884866277. The next prime is 2868884866319. The reversal of 2868884866296 is 6926684888682.

2868884866296 is a `hidden beast` number, since 286 + 8 + 8 + 8 + 48 + 6 + 6 + 296 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67540761 + ... + 67583223.

It is an arithmetic number, because the mean of its divisors is an integer number (62485776000).

Almost surely, 22868884866296 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 2868884866296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3999089664000).

2868884866296 is an abundant number, since it is smaller than the sum of its proper divisors (5129294461704).

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

2868884866296 is a wasteful number, since it uses less digits than its factorization.

2868884866296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43610 (or 43600 counting only the distinct ones).

The product of its digits is 6115295232, while the sum is 81.

The spelling of 2868884866296 in words is "two trillion, eight hundred sixty-eight billion, eight hundred eighty-four million, eight hundred sixty-six thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 479 653 958 1306 1437 1916 1959 2612 2874 3832 3918 4311 5224 5748 5877 7836 8622 11496 11754 12933 15672 17244 17631 23508 25866 34488 35262 42463 47016 51732 70524 84926 103464 127389 141048 169852 254778 312787 339704 382167 509556 625574 764334 938361 1019112 1146501 1251148 1528668 1876722 2293002 2502296 2815083 3057336 3753444 4586004 5630166 7506888 8445249 9172008 11260332 16890498 20339777 22520664 27728339 33780996 40679554 55456678 61019331 67561992 81359108 83185017 110913356 122038662 162718216 166370034 183057993 221826712 244077324 249555051 332740068 366115986 488154648 499110102 549173979 665480136 732231972 748665153 998220204 1098347958 1464463944 1497330306 1996440408 2196695916 2994660612 4393391832 5989321224 13281874381 26563748762 39845623143 53127497524 79691246286 106254995048 119536869429 159382492572 239073738858 318764985144 358610608287 478147477716 717221216574 956294955432 1434442433148 2868884866296