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40905464003688 = 233137179337206237
BaseRepresentation
bin10010100110100000010111…
…01001101011110001101000
312100211112011010012020111210
421103100023221223301220
520330143342241104223
6222555413304153120
711421215350064124
oct1123201351536150
9170745133166453
1040905464003688
1112040a01032799
1247079051687a0
1319a94a407313b
14a15b99428584
154ae0a1ca7893
hex25340ba6bc68

40905464003688 has 128 divisors (see below), whose sum is σ = 103893464937600. Its totient is φ = 13420004204544.

The previous prime is 40905464003617. The next prime is 40905464003753. The reversal of 40905464003688 is 88630046450904.

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, 198238906 + ... + 198445142.

It is an arithmetic number, because the mean of its divisors is an integer number (811667694825).

Almost surely, 240905464003688 is an apocalyptic number.

It is an amenable number.

40905464003688 is an abundant number, since it is smaller than the sum of its proper divisors (62988000933912).

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

40905464003688 is a wasteful number, since it uses less digits than its factorization.

40905464003688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206899 (or 206895 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 57.

The spelling of 40905464003688 in words is "forty trillion, nine hundred five billion, four hundred sixty-four million, three thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 24 137 179 274 337 358 411 537 548 674 716 822 1011 1074 1096 1348 1432 1644 2022 2148 2696 3288 4044 4296 8088 24523 46169 49046 60323 73569 92338 98092 120646 138507 147138 180969 184676 196184 206237 241292 277014 294276 361938 369352 412474 482584 554028 588552 618711 723876 824948 1108056 1237422 1447752 1649896 2474844 4949688 8264251 16528502 24792753 28254469 33057004 36916423 49585506 56508938 66114008 69501869 73832846 84763407 99171012 110749269 113017876 139003738 147665692 169526814 198342024 208505607 221498538 226035752 278007476 295331384 339053628 417011214 442997076 556014952 678107256 834022428 885994152 1668044856 5057549951 9521756053 10115099902 12440834551 15172649853 19043512106 20230199804 24881669102 28565268159 30345299706 37322503653 38087024212 40460399608 49763338204 57130536318 60690599412 74645007306 76174048424 99526676408 114261072636 121381198824 149290014612 228522145272 298580029224 1704394333487 3408788666974 5113183000461 6817577333948 10226366000922 13635154667896 20452732001844 40905464003688