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4268112124896 = 253317328554593
BaseRepresentation
bin111110000110111111010…
…011101001101111100000
3120010000202001221211112000
4332012333103221233200
51024412043200444041
613024424343204000
7620234540316534
oct76067723515740
916100661854460
104268112124896
1113a6107030384
1258b232146600
1324c6343b5499
1410a813407bc4
1576053e29bb6
hex3e1bf4e9be0

4268112124896 has 96 divisors (see below), whose sum is σ = 12520618377120. Its totient is φ = 1414480269312.

The previous prime is 4268112124891. The next prime is 4268112124933. The reversal of 4268112124896 is 6984212118624.

4268112124896 is a `hidden beast` number, since 42 + 6 + 8 + 112 + 1 + 2 + 489 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×42681121248962 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4268112124891) 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, 14127825 + ... + 14426768.

It is an arithmetic number, because the mean of its divisors is an integer number (130423108095).

Almost surely, 24268112124896 is an apocalyptic number.

It is an amenable number.

4268112124896 is an abundant number, since it is smaller than the sum of its proper divisors (8252506252224).

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

4268112124896 is a wasteful number, since it uses less digits than its factorization.

4268112124896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28554785 (or 28554771 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The spelling of 4268112124896 in words is "four trillion, two hundred sixty-eight billion, one hundred twelve million, one hundred twenty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 173 216 288 346 432 519 692 864 1038 1384 1557 2076 2768 3114 4152 4671 5536 6228 8304 9342 12456 16608 18684 24912 37368 49824 74736 149472 28554593 57109186 85663779 114218372 171327558 228436744 256991337 342655116 456873488 513982674 685310232 770974011 913746976 1027965348 1370620464 1541948022 2055930696 2741240928 3083896044 4111861392 4939944589 6167792088 8223722784 9879889178 12335584176 14819833767 19759778356 24671168352 29639667534 39519556712 44459501301 59279335068 79039113424 88919002602 118558670136 133378503903 158078226848 177838005204 237117340272 266757007806 355676010408 474234680544 533514015612 711352020816 1067028031224 1422704041632 2134056062448 4268112124896