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493745145270 = 2351383107142553
BaseRepresentation
bin1110010111101011000…
…00010000010110110110
31202012102221121011121020
413023311200100112312
531042142224122040
61014453504002010
750446315326306
oct7136540202666
91665387534536
10493745145270
1118043a298573
127b836300306
133773832c9c0
1419c7c633606
15cc9b957cd0
hex72f58105b6

493745145270 has 128 divisors (see below), whose sum is σ = 1303595887104. Its totient is φ = 118949950464.

The previous prime is 493745145269. The next prime is 493745145307. The reversal of 493745145270 is 72541547394.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 3392314 + ... + 3534866.

It is an arithmetic number, because the mean of its divisors is an integer number (10184342868).

Almost surely, 2493745145270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493745145270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651797943552).

493745145270 is an abundant number, since it is smaller than the sum of its proper divisors (809850741834).

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

493745145270 is a wasteful number, since it uses less digits than its factorization.

493745145270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142766.

The product of its (nonzero) digits is 4233600, while the sum is 51.

It can be divided in two parts, 493745 and 145270, that added together give a triangular number (639015 = T1130).

The spelling of 493745145270 in words is "four hundred ninety-three billion, seven hundred forty-five million, one hundred forty-five thousand, two hundred seventy".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 83 107 130 166 195 214 249 321 390 415 498 535 642 830 1070 1079 1245 1391 1605 2158 2490 2782 3210 3237 4173 5395 6474 6955 8346 8881 10790 13910 16185 17762 20865 26643 32370 41730 44405 53286 88810 115453 133215 142553 230906 266430 285106 346359 427659 577265 692718 712765 855318 1154530 1425530 1731795 1853189 2138295 3463590 3706378 4276590 5559567 9265945 11119134 11831899 15253171 18531890 23663798 27797835 30506342 35495697 45759513 55595670 59159495 70991394 76265855 91519026 118318990 152531710 153814687 177478485 198291223 228797565 307629374 354956970 396582446 457595130 461444061 594873669 769073435 922888122 991456115 1189747338 1266013193 1538146870 1982912230 2307220305 2532026386 2974368345 3798039579 4614440610 5948736690 6330065965 7596079158 12660131930 16458171509 18990197895 32916343018 37980395790 49374514527 82290857545 98749029054 164581715090 246872572635 493745145270