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4107076926720 = 28358631239341
BaseRepresentation
bin111011110001000000110…
…111000111110100000000
3112112122002020211011120220
4323301000313013310000
51014242243143123340
612422433132103040
7602504123604045
oct73610067076400
915478066734526
104107076926720
11134388a943539
12563b8b904a80
1323a3ac836681
14102ad82231cc
1571c7b656ed0
hex3bc40dc7d00

4107076926720 has 144 divisors (see below), whose sum is σ = 13132186808832. Its totient is φ = 1093950545920.

The previous prime is 4107076926649. The next prime is 4107076926721. The reversal of 4107076926720 is 276296707014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4107076926721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2694250 + ... + 3933590.

It is an arithmetic number, because the mean of its divisors is an integer number (91195741728).

Almost surely, 24107076926720 is an apocalyptic number.

4107076926720 is a gapful number since it is divisible by the number (40) 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 4107076926720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6566093404416).

4107076926720 is an abundant number, since it is smaller than the sum of its proper divisors (9025109882112).

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

4107076926720 is a wasteful number, since it uses less digits than its factorization.

4107076926720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240228 (or 1240214 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 51.

The spelling of 4107076926720 in words is "four trillion, one hundred seven billion, seventy-six million, nine hundred twenty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 863 960 1280 1726 1920 2589 3452 3840 4315 5178 6904 8630 10356 12945 13808 17260 20712 25890 27616 34520 41424 51780 55232 69040 82848 103560 110464 138080 165696 207120 220928 276160 331392 414240 552320 662784 828480 1104640 1239341 1656960 2478682 3313920 3718023 4957364 6196705 7436046 9914728 12393410 14872092 18590115 19829456 24786820 29744184 37180230 39658912 49573640 59488368 74360460 79317824 99147280 118976736 148720920 158635648 198294560 237953472 297441840 317271296 396589120 475906944 594883680 793178240 951813888 1069551283 1189767360 1586356480 2139102566 2379534720 3208653849 4278205132 4759069440 5347756415 6417307698 8556410264 10695512830 12834615396 16043269245 17112820528 21391025660 25669230792 32086538490 34225641056 42782051320 51338461584 64173076980 68451282112 85564102640 102676923168 128346153960 136902564224 171128205280 205353846336 256692307920 273805128448 342256410560 410707692672 513384615840 684512821120 821415385344 1026769231680 1369025642240 2053538463360 4107076926720