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2798916290274 = 23131743331148303
BaseRepresentation
bin101000101110101100011…
…010010100011011100010
3100220120111021210102200110
4220232230122110123202
5331324140032242044
65541445425432150
7406133516632356
oct50565432243342
910816437712613
102798916290274
1198a017307405
1239254749b656
13173c23b44a90
149967ad17466
154cc160a56b9
hex28bac6946e2

2798916290274 has 128 divisors (see below), whose sum is σ = 6551268691968. Its totient is φ = 789298836480.

The previous prime is 2798916290213. The next prime is 2798916290309. The reversal of 2798916290274 is 4720926198972.

It is a super-2 number, since 2×27989162902742 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18798807 + ... + 18947109.

It is an arithmetic number, because the mean of its divisors is an integer number (51181786656).

Almost surely, 22798916290274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2798916290274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3275634345984).

2798916290274 is an abundant number, since it is smaller than the sum of its proper divisors (3752352401694).

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

2798916290274 is a wasteful number, since it uses less digits than its factorization.

2798916290274 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148712.

The product of its (nonzero) digits is 54867456, while the sum is 66.

The spelling of 2798916290274 in words is "two trillion, seven hundred ninety-eight billion, nine hundred sixteen million, two hundred ninety thousand, two hundred seventy-four".

Divisors: 1 2 3 6 13 17 26 34 39 43 51 78 86 102 129 221 258 331 442 559 662 663 731 993 1118 1326 1462 1677 1986 2193 3354 4303 4386 5627 8606 9503 11254 12909 14233 16881 19006 25818 28466 28509 33762 42699 57018 73151 85398 146302 148303 185029 219453 241961 296606 370058 438906 444909 483922 555087 725883 889818 1110174 1451766 1927939 2521151 3145493 3855878 5042302 5783817 6290986 6377029 7563453 9436479 11567634 12754058 15126906 18872958 19131087 32774963 38262174 49088293 65549926 82901377 98176586 98324889 108409493 147264879 165802754 196649778 216818986 248704131 294529758 325228479 497408262 638147809 650456958 834500981 1276295618 1409323409 1669001962 1914443427 2110796599 2503502943 2818646818 3828886854 4221593198 4227970227 5007005886 6332389797 8455940454 10848512753 12664779594 21697025506 27440355787 32545538259 35883542183 54880711574 65091076518 71767084366 82321067361 107650626549 164642134722 215301253098 466486048379 932972096758 1399458145137 2798916290274