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2296978020304 = 24113198776473
BaseRepresentation
bin100001011011001110100…
…011110001011111010000
322010120220100101101220021
4201123032203301133100
5300113202333122204
64515114522353224
7324644154012112
oct41331643613720
98116810341807
102296978020304
11806163235000
1231120535b814
131387b12841c6
147d2625073b2
153eb3a205154
hex216ce8f17d0

2296978020304 has 160 divisors (see below), whose sum is σ = 5159409240960. Its totient is φ = 987848801280.

The previous prime is 2296978020269. The next prime is 2296978020347. The reversal of 2296978020304 is 4030208796922.

2296978020304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22969780203042 (a number of 26 digits) contains 22 as substring.

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, 354852012 + ... + 354858484.

It is an arithmetic number, because the mean of its divisors is an integer number (32246307756).

Almost surely, 22296978020304 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 2296978020304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2579704620480).

2296978020304 is an abundant number, since it is smaller than the sum of its proper divisors (2862431220656).

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

2296978020304 is a wasteful number, since it uses less digits than its factorization.

2296978020304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7410 (or 7382 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 52.

The spelling of 2296978020304 in words is "two trillion, two hundred ninety-six billion, nine hundred seventy-eight million, twenty thousand, three hundred four".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 121 152 176 209 242 304 418 484 836 877 968 1331 1672 1754 1936 2299 2662 3344 3508 4598 5324 6473 7016 9196 9647 10648 12946 14032 16663 18392 19294 21296 25289 25892 33326 36784 38588 50578 51784 66652 71203 77176 101156 103568 106117 122987 133304 142406 154352 183293 202312 212234 245974 266608 284812 366586 404624 424468 491948 569624 733172 783233 848936 983896 1139248 1167287 1352857 1466344 1566466 1697872 1967792 2016223 2334574 2705714 2932688 3132932 4032446 4669148 5411428 5676821 6265864 8064892 8615563 9338296 10822856 11353642 12531728 14881427 16129784 17231126 18676592 21645712 22178453 22707284 29762854 32259568 34462252 44356906 45414568 59525708 62445031 68924504 88713812 90829136 107859599 119051416 124890062 137849008 163695697 177427624 215719198 238102832 249780124 327391394 354855248 431438396 499560248 654782788 686895341 862876792 999120496 1186455589 1309565576 1373790682 1725753584 2372911178 2619131152 2747581364 4745822356 5495162728 7555848751 9491644712 10990325456 13051011479 15111697502 18983289424 26102022958 30223395004 52204045916 60446790008 104408091832 120893580016 143561126269 208816183664 287122252538 574244505076 1148489010152 2296978020304