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42426794496 = 2931912711447
BaseRepresentation
bin100111100000110101…
…011000001000000000
311001111210111110201010
4213200311120020000
51143342224410441
631253545240520
73031242542262
oct474065301000
9131453443633
1042426794496
1116aa1901729
128280793140
134001a90138
1420a6a03b32
151184aa2116
hex9e0d58200

42426794496 has 160 divisors (see below), whose sum is σ = 119923752960. Its totient is φ = 13291278336.

The previous prime is 42426794491. The next prime is 42426794503. The reversal of 42426794496 is 69449762424.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (42426794491) 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, 3700645 + ... + 3712091.

It is an arithmetic number, because the mean of its divisors is an integer number (749523456).

Almost surely, 242426794496 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 42426794496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59961876480).

42426794496 is an abundant number, since it is smaller than the sum of its proper divisors (77496958464).

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

42426794496 is a wasteful number, since it uses less digits than its factorization.

42426794496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11614 (or 11598 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 57.

The spelling of 42426794496 in words is "forty-two billion, four hundred twenty-six million, seven hundred ninety-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 127 128 152 192 228 254 256 304 381 384 456 508 512 608 762 768 912 1016 1216 1524 1536 1824 2032 2413 2432 3048 3648 4064 4826 4864 6096 7239 7296 8128 9652 9728 11447 12192 14478 14592 16256 19304 22894 24384 28956 29184 32512 34341 38608 45788 48768 57912 65024 68682 77216 91576 97536 115824 137364 154432 183152 195072 217493 231648 274728 308864 366304 434986 463296 549456 617728 652479 732608 869972 926592 1098912 1235456 1304958 1453769 1465216 1739944 1853184 2197824 2609916 2907538 2930432 3479888 3706368 4361307 4395648 5219832 5815076 5860864 6959776 8722614 8791296 10439664 11630152 13919552 17445228 17582592 20879328 23260304 27621611 27839104 34890456 41758656 46520608 55243222 55678208 69780912 82864833 83517312 93041216 110486444 111356416 139561824 165729666 167034624 186082432 220972888 279123648 331459332 334069248 372164864 441945776 558247296 662918664 744329728 883891552 1116494592 1325837328 1767783104 2232989184 2651674656 3535566208 5303349312 7071132416 10606698624 14142264832 21213397248 42426794496