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498135517352 = 2311171947936587
BaseRepresentation
bin1110011111110110011…
…00001100100010101000
31202121202220212011212122
413033323030030202220
531130140143023402
61020501300530412
750663156015024
oct7177314144250
91677686764778
10498135517352
11182292571050
12806606b0a08
1337c87aa15c5
141a177763384
15ce570ddca2
hex73fb30c8a8

498135517352 has 128 divisors (see below), whose sum is σ = 1138033152000. Its totient is φ = 201463004160.

The previous prime is 498135517349. The next prime is 498135517387. The reversal of 498135517352 is 253715531894.

It is a junction number, because it is equal to n+sod(n) for n = 498135517294 and 498135517303.

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, 13596803 + ... + 13633389.

It is an arithmetic number, because the mean of its divisors is an integer number (8890884000).

Almost surely, 2498135517352 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 498135517352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569016576000).

498135517352 is an abundant number, since it is smaller than the sum of its proper divisors (639897634648).

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

498135517352 is a wasteful number, since it uses less digits than its factorization.

498135517352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37119 (or 37115 counting only the distinct ones).

The product of its digits is 4536000, while the sum is 53.

The spelling of 498135517352 in words is "four hundred ninety-eight billion, one hundred thirty-five million, five hundred seventeen thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 17 19 22 34 38 44 68 76 88 136 152 187 209 323 374 418 479 646 748 836 958 1292 1496 1672 1916 2584 3553 3832 5269 7106 8143 9101 10538 14212 16286 18202 21076 28424 32572 36404 36587 42152 65144 72808 73174 89573 100111 146348 154717 179146 200222 292696 309434 358292 400444 402457 618868 621979 695153 716584 800888 804914 1237736 1243958 1390306 1609828 1701887 2487916 2780612 3219656 3403774 4975832 5561224 6807548 6841769 7646683 11817601 13615096 13683538 15293366 17525173 23635202 27367076 30586732 35050346 47270404 54734152 61173464 70100692 94540808 129993611 140201384 192776903 259987222 297927941 332978287 385553806 519974444 595855882 665956574 771107612 1039948888 1191711764 1331913148 1542215224 2383423528 2663826296 3277207351 3662761157 5660630879 6554414702 7325522314 11321261758 13108829404 14651044628 22642523516 26217658808 29302089256 45285047032 62266939669 124533879338 249067758676 498135517352