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6416542441496 = 2311223595348413
BaseRepresentation
bin101110101011111011110…
…1110111010000000011000
3211201102012212122000112102
41131113313232322000120
51320112034331111441
621351415141102532
71231402621563455
oct135276756720030
924642185560472
106416542441496
112054270a24a00
1287769b0b7a48
13377100c49355
141827c2da682c
15b1d97cc569b
hex5d5f7bba018

6416542441496 has 96 divisors (see below), whose sum is σ = 13801743053280. Its totient is φ = 2789274808320.

The previous prime is 6416542441489. The next prime is 6416542441499. The reversal of 6416542441496 is 6941442456146.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6416542441499) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132513386 + ... + 132561798.

It is an arithmetic number, because the mean of its divisors is an integer number (143768156805).

Almost surely, 26416542441496 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 6416542441496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6900871526640).

6416542441496 is an abundant number, since it is smaller than the sum of its proper divisors (7385200611784).

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

6416542441496 is a wasteful number, since it uses less digits than its factorization.

6416542441496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54417 (or 54402 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 56.

The spelling of 6416542441496 in words is "six trillion, four hundred sixteen billion, five hundred forty-two million, four hundred forty-one thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 121 184 242 253 484 506 968 1012 2024 2783 5566 5953 11132 11906 22264 23812 47624 48413 65483 96826 130966 136919 193652 261932 273838 387304 523864 532543 547676 720313 1065086 1095352 1113499 1440626 1506109 2130172 2226998 2881252 3012218 4260344 4453996 5762504 5857973 6024436 8907992 11715946 12048872 12248489 16567199 23431892 24496978 33134398 46863784 48993956 66268796 97987912 132537592 134733379 269466758 288202589 538933516 576405178 1077867032 1152810356 2305620712 3170228479 6340456958 6628659547 12680913916 13257319094 25361827832 26514638188 34872513269 53029276376 69745026538 72915255017 139490053076 145830510034 278980106152 291661020068 583322040136 802067805187 1604135610374 3208271220748 6416542441496