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2530513562136 = 233747619517739
BaseRepresentation
bin100100110100101110010…
…111001010101000011000
322221220200211201010101120
4210310232113022220120
5312424442432442021
65214300223445240
7350552325244110
oct44645627125030
98856624633346
102530513562136
11896203a3212a
1234a51ba56820
1315481b29a351
148a698404040
1545c578812c6
hex24d2e5caa18

2530513562136 has 128 divisors (see below), whose sum is σ = 7395812352000. Its totient is φ = 706476281472.

The previous prime is 2530513562041. The next prime is 2530513562207. The reversal of 2530513562136 is 6312653150352.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4628755 + ... + 5146493.

It is an arithmetic number, because the mean of its divisors is an integer number (57779784000).

Almost surely, 22530513562136 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 2530513562136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3697906176000).

2530513562136 is an abundant number, since it is smaller than the sum of its proper divisors (4865298789864).

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

2530513562136 is a wasteful number, since it uses less digits than its factorization.

2530513562136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518421 (or 518417 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 42.

The spelling of 2530513562136 in words is "two trillion, five hundred thirty billion, five hundred thirteen million, five hundred sixty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 47 56 84 94 141 168 188 282 329 376 564 619 658 987 1128 1238 1316 1857 1974 2476 2632 3714 3948 4333 4952 7428 7896 8666 12999 14856 17332 25998 29093 34664 51996 58186 87279 103992 116372 174558 203651 232744 349116 407302 517739 610953 698232 814604 1035478 1221906 1553217 1629208 2070956 2443812 3106434 3624173 4141912 4887624 6212868 7248346 10872519 12425736 14496692 21745038 24333733 28993384 43490076 48667466 73001199 86980152 97334932 146002398 170336131 194669864 292004796 320480441 340672262 511008393 584009592 640960882 681344524 961441323 1022016786 1281921764 1362689048 1922882646 2044033572 2243363087 2563843528 3845765292 4088067144 4486726174 6730089261 7691530584 8973452348 13460178522 15062580727 17946904696 26920357044 30125161454 45187742181 53840714088 60250322908 90375484362 105438065089 120500645816 180750968724 210876130178 316314195267 361501937448 421752260356 632628390534 843504520712 1265256781068 2530513562136