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85833585780054 = 237213719311041601
BaseRepresentation
bin10011100001000010110000…
…011000111110010101010110
3102020220121111011200021220120
4103201002300120332111112
542222244140424430204
6502315223245212410
724036162162111600
oct2341026030762526
9366817434607816
1085833585780054
1125392901550012
12976315a261106
1338b80c3109788
14172a521038170
159dcaddc796d9
hex4e10b063e556

85833585780054 has 96 divisors (see below), whose sum is σ = 202194345820896. Its totient is φ = 24218733772800.

The previous prime is 85833585780043. The next prime is 85833585780277. The reversal of 85833585780054 is 45008758533858.

85833585780054 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2252854 + ... + 13294454.

It is an arithmetic number, because the mean of its divisors is an integer number (2106191102301).

Almost surely, 285833585780054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85833585780054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101097172910448).

85833585780054 is an abundant number, since it is smaller than the sum of its proper divisors (116360760040842).

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

85833585780054 is a wasteful number, since it uses less digits than its factorization.

85833585780054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11041950 (or 11041943 counting only the distinct ones).

The product of its (nonzero) digits is 645120000, while the sum is 69.

The spelling of 85833585780054 in words is "eighty-five trillion, eight hundred thirty-three billion, five hundred eighty-five million, seven hundred eighty thousand, fifty-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 137 147 193 274 294 386 411 579 822 959 1158 1351 1918 2702 2877 4053 5754 6713 8106 9457 13426 18914 20139 26441 28371 40278 52882 56742 79323 158646 185087 370174 555261 1110522 1295609 2591218 3886827 7773654 11041601 22083202 33124803 66249606 77291207 154582414 231873621 463747242 541038449 1082076898 1512699337 1623115347 2131028993 3025398674 3246230694 4262057986 4538098011 6393086979 9076196022 10588895359 12786173958 14917202951 21177790718 29834405902 31766686077 44751608853 63533372154 74122267513 89503217706 104420420657 148244535026 208840841314 222366802539 291950972041 313261261971 444733605078 583901944082 626522523942 875852916123 1751705832246 2043656804287 4087313608574 6130970412861 12261940825722 14305597630009 28611195260018 42916792890027 85833585780054