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4091156170368 = 27353419479761
BaseRepresentation
bin111011100010001011111…
…010010000011010000000
3112111002222201002221122020
4323202023322100122000
51014012141434422433
612411241243041440
7601401443446551
oct73421372203200
915432881087566
104091156170368
111338060002663
12560a87b10280
13238a43307497
141020279dc328
1571648ab5cb3
hex3b88be90680

4091156170368 has 128 divisors (see below), whose sum is σ = 11098622203200. Its totient is φ = 1334792110080.

The previous prime is 4091156170363. The next prime is 4091156170417. The reversal of 4091156170368 is 8630716511904.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 4091156170368.

It is not an unprimeable number, because it can be changed into a prime (4091156170363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8287608 + ... + 8767368.

Almost surely, 24091156170368 is an apocalyptic number.

4091156170368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4091156170368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5549311101600).

4091156170368 is an abundant number, since it is smaller than the sum of its proper divisors (7007466032832).

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

4091156170368 is a wasteful number, since it uses less digits than its factorization.

4091156170368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480250 (or 480238 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 4091156170368 in words is "four trillion, ninety-one billion, one hundred fifty-six million, one hundred seventy thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 318 384 419 424 636 838 848 1257 1272 1676 1696 2514 2544 3352 3392 5028 5088 6704 6784 10056 10176 13408 20112 20352 22207 26816 40224 44414 53632 66621 80448 88828 133242 160896 177656 266484 355312 479761 532968 710624 959522 1065936 1421248 1439283 1919044 2131872 2842496 2878566 3838088 4263744 5757132 7676176 8527488 11514264 15352352 23028528 25427333 30704704 46057056 50854666 61409408 76281999 92114112 101709332 152563998 184228224 201019859 203418664 305127996 402039718 406837328 603059577 610255992 804079436 813674656 1206119154 1220511984 1608158872 1627349312 2412238308 2441023968 3216317744 3254698624 4824476616 4882047936 6432635488 9648953232 9764095872 10654052527 12865270976 19297906464 21308105054 25730541952 31962157581 38595812928 42616210108 63924315162 77191625856 85232420216 127848630324 170464840432 255697260648 340929680864 511394521296 681859361728 1022789042592 1363718723456 2045578085184 4091156170368