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245435153134424 = 2311591033157129129
BaseRepresentation
bin110111110011100011010011…
…000111100011001101011000
31012012000101000211001211011112
4313303203103013203031120
5224132202143200300144
62225555204112115452
7102461050615634051
oct6763432307431530
91165011024054145
10245435153134424
1171226511510490
122363ab88235b88
13a6c4588108396
1444871a6617728
151d594e910499e
hexdf38d31e3358

245435153134424 has 128 divisors (see below), whose sum is σ = 511372442592000. Its totient is φ = 109490893670400.

The previous prime is 245435153134387. The next prime is 245435153134459. The reversal of 245435153134424 is 424431351534542.

It is a happy number.

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, 8425786292 + ... + 8425815420.

It is an arithmetic number, because the mean of its divisors is an integer number (3995097207750).

Almost surely, 2245435153134424 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 245435153134424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255686221296000).

245435153134424 is an abundant number, since it is smaller than the sum of its proper divisors (265937289457576).

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

245435153134424 is a wasteful number, since it uses less digits than its factorization.

245435153134424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31809 (or 31805 counting only the distinct ones).

The product of its digits is 13824000, while the sum is 50.

The spelling of 245435153134424 in words is "two hundred forty-five trillion, four hundred thirty-five billion, one hundred fifty-three million, one hundred thirty-four thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 59 88 118 236 472 649 1033 1298 1571 2066 2596 3142 4132 5192 6284 8264 11363 12568 17281 22726 29129 34562 45452 58258 60947 69124 90904 92689 116516 121894 138248 185378 233032 243788 320419 370756 487576 640838 670417 741512 1019579 1281676 1340834 1622843 1718611 2039158 2563352 2681668 3245686 3437222 4078316 5363336 6491372 6874444 8156632 12982744 13748888 17851273 18904721 30090257 35702546 37809442 45761659 60180514 71405092 75618884 91523318 95747737 120361028 142810184 151237768 183046636 191495474 240722056 330992827 366093272 382990948 503378249 661985654 765981896 1006756498 1053225107 1323971308 1775325163 2013512996 2106450214 2647942616 2699937881 3550650326 4027025992 4212900428 5399875762 7101300652 8425800856 10799751524 14202601304 19528576793 21599503048 29699316691 39057153586 47271793747 59398633382 78114307172 94543587494 118797266764 156228614344 189087174988 237594533528 378174349976 519989731217 1039979462434 2079958924868 2789035831073 4159917849736 5578071662146 11156143324292 22312286648584 30679394141803 61358788283606 122717576567212 245435153134424