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136723426048 = 2811197693323
BaseRepresentation
bin111111101010101011…
…0011110101100000000
3111001220111020200021101
41333111112132230000
54220002144113143
6142450533304144
712610063642366
oct1772526365400
9431814220241
10136723426048
1152a9089a690
12225b8495054
13cb7bac2641
1468903cd636
153853249b4d
hex1fd559eb00

136723426048 has 144 divisors (see below), whose sum is σ = 313894627200. Its totient is φ = 58781859840.

The previous prime is 136723426031. The next prime is 136723426061. The reversal of 136723426048 is 840624327631.

It is a junction number, because it is equal to n+sod(n) for n = 136723425989 and 136723426007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41142915 + ... + 41146237.

It is an arithmetic number, because the mean of its divisors is an integer number (2179823800).

Almost surely, 2136723426048 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 136723426048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156947313600).

136723426048 is an abundant number, since it is smaller than the sum of its proper divisors (177171201152).

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

136723426048 is a wasteful number, since it uses less digits than its factorization.

136723426048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4138 (or 4124 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 46.

The spelling of 136723426048 in words is "one hundred thirty-six billion, seven hundred twenty-three million, four hundred twenty-six thousand, forty-eight".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 209 256 304 352 418 608 704 769 836 1216 1408 1538 1672 2432 2816 3076 3323 3344 4864 6152 6646 6688 8459 12304 13292 13376 14611 16918 24608 26584 26752 29222 33836 36553 49216 53168 53504 58444 63137 67672 73106 98432 106336 116888 126274 135344 146212 160721 196864 212672 233776 252548 270688 292424 321442 425344 467552 505096 541376 584848 642884 694507 850688 935104 1010192 1082752 1169696 1285768 1389014 1870208 2020384 2165504 2339392 2555387 2571536 2778028 3740416 4040768 4678784 5110774 5143072 5556056 8081536 9357568 10221548 10286144 11112112 16163072 20443096 20572288 22224224 28109257 40886192 41144576 44448448 48552353 56218514 81772384 88896896 97104706 112437028 163544768 177793792 194209412 224874056 327089536 388418824 449748112 534075883 654179072 776837648 899496224 1068151766 1553675296 1798992448 2136303532 3107350592 3597984896 4272607064 6214701184 7195969792 8545214128 12429402368 17090428256 34180856512 68361713024 136723426048