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1248400008632 = 237536117473947
BaseRepresentation
bin10010001010101010011…
…100000110010110111000
311102100100010212022001202
4102022222130012112320
5130423210400234012
62353301304433332
7156123341662640
oct22125234062670
94370303768052
101248400008632
11441497293a27
12181b46778848
1390953a2587a
14445cc567520
1522718d83cc2
hex122aa7065b8

1248400008632 has 128 divisors (see below), whose sum is σ = 2772587543040. Its totient is φ = 515901934080.

The previous prime is 1248400008629. The next prime is 1248400008641. The reversal of 1248400008632 is 2368000048421.

It is a super-2 number, since 2×12484000086322 (a number of 25 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, 316288883 + ... + 316292829.

It is an arithmetic number, because the mean of its divisors is an integer number (21660840180).

Almost surely, 21248400008632 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 1248400008632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386293771520).

1248400008632 is an abundant number, since it is smaller than the sum of its proper divisors (1524187534408).

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

1248400008632 is a wasteful number, since it uses less digits than its factorization.

1248400008632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5821 (or 5817 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The spelling of 1248400008632 in words is "one trillion, two hundred forty-eight billion, four hundred million, eight thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 53 56 61 106 122 212 244 371 424 427 488 742 854 1484 1708 1747 2968 3233 3416 3494 3947 6466 6988 7894 12229 12932 13976 15788 22631 24458 25864 27629 31576 45262 48916 55258 90524 92591 97832 106567 110516 181048 185182 209191 213134 221032 240767 370364 418382 426268 481534 648137 740728 745969 836764 852536 963068 1296274 1464337 1491938 1673528 1685369 1926136 2592548 2928674 2983876 3370738 5185096 5648051 5857348 5967752 6741476 6895409 11296102 11714696 12760651 13482952 13790818 22592204 25521302 27581636 39536357 45184408 48267863 51042604 55163272 79072714 89324557 96535726 102085208 158145428 178649114 193071452 316290856 357298228 365456677 386142904 420619949 714596456 730913354 841239898 1461826708 1682479796 2558196739 2923653416 2944339643 3364959592 5116393478 5888679286 10232786956 11777358572 20465573912 22292857297 23554717144 44585714594 89171429188 156050001079 178342858376 312100002158 624200004316 1248400008632