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235840147968 = 2931397731429
BaseRepresentation
bin1101101110100100101…
…0110001001000000000
3211112202002211211210010
43123221022301020000
512331000034213333
6300202104504520
723016224116215
oct3335112611000
9745662754703
10235840147968
11910236848a7
123985a47b140
1319316611a19
14b5b4007b0c
156204b5c563
hex36e92b1200

235840147968 has 160 divisors (see below), whose sum is σ = 634075041600. Its totient is φ = 77892304896.

The previous prime is 235840147951. The next prime is 235840147981. The reversal of 235840147968 is 869741048532.

It is a happy number.

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, 165037878 + ... + 165039306.

It is an arithmetic number, because the mean of its divisors is an integer number (3962969010).

It is a 2-persistent number, because it is pandigital, and so is 2⋅235840147968 = 471680295936, but 3⋅235840147968 = 707520443904 is not.

Almost surely, 2235840147968 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 235840147968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317037520800).

235840147968 is an abundant number, since it is smaller than the sum of its proper divisors (398234893632).

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

235840147968 is a wasteful number, since it uses less digits than its factorization.

235840147968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2362 (or 2346 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 235840147968 in words is "two hundred thirty-five billion, eight hundred forty million, one hundred forty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 139 192 256 278 384 417 512 556 768 773 834 1112 1429 1536 1546 1668 2224 2319 2858 3092 3336 4287 4448 4638 5716 6184 6672 8574 8896 9276 11432 12368 13344 17148 17792 18552 22864 24736 26688 34296 35584 37104 45728 49472 53376 68592 71168 74208 91456 98944 106752 107447 137184 148416 182912 197888 198631 213504 214894 274368 296832 322341 365824 395776 397262 429788 548736 593664 595893 644682 731648 794524 859576 1097472 1104617 1187328 1191786 1289364 1589048 1719152 2194944 2209234 2383572 2578728 3178096 3313851 3438304 4418468 4767144 5157456 6356192 6627702 6876608 8836936 9534288 10314912 12712384 13255404 13753216 17673872 19068576 20629824 25424768 26510808 27506432 35347744 38137152 41259648 50849536 53021616 55012864 70695488 76274304 82519296 101699072 106043232 141390976 152548608 153541763 165038592 212086464 282781952 305097216 307083526 424172928 460625289 565563904 614167052 848345856 921250578 1228334104 1696691712 1842501156 2456668208 3685002312 4913336416 7370004624 9826672832 14740009248 19653345664 29480018496 39306691328 58960036992 78613382656 117920073984 235840147968