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235474102608 = 243103113521809
BaseRepresentation
bin1101101101001101011…
…0011010100101010000
3211111210121001210221120
43123103112122211100
512324222332240413
6300101511122240
723004160563453
oct3332326324520
9744717053846
10235474102608
1190955aa0578
1239777973380
131928882b434
14b57b56149a
1561d2954723
hex36d359a950

235474102608 has 160 divisors (see below), whose sum is σ = 621606286080. Its totient is φ = 76798525440.

The previous prime is 235474102579. The next prime is 235474102613. The reversal of 235474102608 is 806201474532.

235474102608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2354741026083 (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 235474102608.

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, 291067708 + ... + 291068516.

It is an arithmetic number, because the mean of its divisors is an integer number (3885039288).

Almost surely, 2235474102608 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 235474102608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310803143040).

235474102608 is an abundant number, since it is smaller than the sum of its proper divisors (386132183472).

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

235474102608 is a wasteful number, since it uses less digits than its factorization.

235474102608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 235474102608 in words is "two hundred thirty-five billion, four hundred seventy-four million, one hundred two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 103 113 206 226 309 339 412 452 521 618 678 809 824 904 1042 1236 1356 1563 1618 1648 1808 2084 2427 2472 2712 3126 3236 4168 4854 4944 5424 6252 6472 8336 9708 11639 12504 12944 19416 23278 25008 34917 38832 46556 53663 58873 69834 83327 91417 93112 107326 117746 139668 160989 166654 176619 182834 186224 214652 235492 249981 274251 279336 321978 333308 353238 365668 421489 429304 470984 499962 548502 558672 643956 666616 706476 731336 842978 858608 941968 999924 1097004 1264467 1287912 1333232 1412952 1462672 1685956 1999848 2194008 2528934 2575824 2825904 3371912 3999696 4388016 5057868 6063919 6743824 9415951 10115736 12127838 18191757 18831902 20231472 24255676 28247853 36383514 37663804 43413367 47628257 48511352 56495706 72767028 75327608 86826734 95256514 97022704 112991412 130240101 142884771 145534056 150655216 173653468 190513028 225982824 260480202 285769542 291068112 347306936 381026056 451965648 520960404 571539084 694613872 762052112 1041920808 1143078168 2083841616 2286156336 4905710471 9811420942 14717131413 19622841884 29434262826 39245683768 58868525652 78491367536 117737051304 235474102608