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2084248874988 = 2232767971272631
BaseRepresentation
bin11110010101000110111…
…010011110111111101100
321101020210212222010201100
4132111012322132333230
5233122020202444423
64233253554443100
7303403426061220
oct36250672367754
97336725863640
102084248874988
11733a1a1765a5
12297b36893490
1312170ba281a7
1472c41a44780
15393394d2343
hex1e546e9efec

2084248874988 has 144 divisors (see below), whose sum is σ = 6174036703744. Its totient is φ = 580563624960.

The previous prime is 2084248874941. The next prime is 2084248874993. The reversal of 2084248874988 is 8894788424802.

2084248874988 is a `hidden beast` number, since 2 + 0 + 8 + 424 + 8 + 87 + 49 + 88 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1001433 + ... + 2274063.

Almost surely, 22084248874988 is an apocalyptic number.

2084248874988 is a gapful number since it is divisible by the number (28) 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 2084248874988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3087018351872).

2084248874988 is an abundant number, since it is smaller than the sum of its proper divisors (4089787828756).

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

2084248874988 is a wasteful number, since it uses less digits than its factorization.

2084248874988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272812 (or 1272807 counting only the distinct ones).

The product of its (nonzero) digits is 528482304, while the sum is 72.

The spelling of 2084248874988 in words is "two trillion, eighty-four billion, two hundred forty-eight million, eight hundred seventy-four thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 67 84 97 126 134 194 201 252 268 291 388 402 469 582 603 679 804 873 938 1164 1206 1358 1407 1746 1876 2037 2412 2716 2814 3492 4074 4221 5628 6111 6499 8148 8442 12222 12998 16884 19497 24444 25996 38994 45493 58491 77988 90986 116982 136479 181972 233964 272958 409437 545916 818874 1272631 1637748 2545262 3817893 5090524 7635786 8908417 11453679 15271572 17816834 22907358 26725251 35633668 45814716 53450502 80175753 85266277 106901004 123445207 160351506 170532554 246890414 255798831 320703012 341065108 370335621 493780828 511597662 596863939 740671242 767396493 864116449 1023195324 1111006863 1193727878 1481342484 1534792986 1728232898 1790591817 2222013726 2387455756 2592349347 3069585972 3456465796 3581183634 4444027452 5184698694 5371775451 7162367268 7777048041 8270828869 10369397388 10743550902 15554096082 16541657738 21487101804 24812486607 31108192164 33083315476 49624973214 57895802083 74437459821 99249946428 115791604166 148874919642 173687406249 231583208332 297749839284 347374812498 521062218747 694749624996 1042124437494 2084248874988