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2919130408628 = 2272971072515717
BaseRepresentation
bin101010011110101001101…
…110110010011010110100
3101100001210012212101100022
4222132221232302122310
5340311334341034003
610113010251304312
7420620526033500
oct52365156623264
911301705771308
102919130408628
11a25aa6017845
123b18b6a4b098
131823714ba6a5
14a1402879300
1550deec53738
hex2a7a9bb26b4

2919130408628 has 144 divisors (see below), whose sum is σ = 6085095782976. Its totient is φ = 1221486336000.

The previous prime is 2919130408567. The next prime is 2919130408651. The reversal of 2919130408628 is 8268040319192.

It is a self number, because there is not a number n which added to its sum of digits gives 2919130408628.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 510602426 + ... + 510608142.

It is an arithmetic number, because the mean of its divisors is an integer number (42257609604).

Almost surely, 22919130408628 is an apocalyptic number.

2919130408628 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 2919130408628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3042547891488).

2919130408628 is an abundant number, since it is smaller than the sum of its proper divisors (3165965374348).

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

2919130408628 is a wasteful number, since it uses less digits than its factorization.

2919130408628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6190 (or 6181 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 53.

The spelling of 2919130408628 in words is "two trillion, nine hundred nineteen billion, one hundred thirty million, four hundred eight thousand, six hundred twenty-eight".

Divisors: 1 2 4 7 14 28 49 97 98 107 194 196 214 251 388 428 502 679 749 1004 1358 1498 1757 2716 2996 3514 4753 5243 5717 7028 9506 10379 10486 11434 12299 19012 20758 20972 22868 24347 24598 26857 40019 41516 48694 49196 53714 72653 80038 97388 107428 145306 160076 170429 187999 280133 290612 340858 375998 508571 554549 560266 611719 681716 751996 1017142 1109098 1120532 1193003 1223438 1315993 1434967 2034284 2218196 2386006 2446876 2605129 2631986 2869934 3881843 4282033 4772012 5210258 5263972 5739868 7763686 8564066 10044769 10420516 15527372 17128132 18235903 20089538 27172901 29974231 36471806 40179076 54345802 59336743 59948462 70313383 72943612 108691604 118673486 119896924 127651321 139191799 140626766 153541469 237346972 255302642 278383598 281253532 307082938 415357201 510605284 556767196 614165876 830714402 974342593 1074790283 1661428804 1948685186 2149580566 2907500407 3897370372 4299161132 5815000814 6820398151 7523531981 11630001628 13640796302 14893522493 15047063962 27281592604 29787044986 30094127924 59574089972 104254657451 208509314902 417018629804 729782602157 1459565204314 2919130408628