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78220056375 = 3353312772699
BaseRepresentation
bin100100011011001000…
…1110101011100110111
321110220021211120101000
41020312101311130313
52240143313301000
655533411134343
75436236336406
oct1106621653467
9243807746330
1078220056375
113019a20109a
12131ab8a43b3
1374b7447a36
143b0060363d
15207c0c8000
hex1236475737

78220056375 has 128 divisors (see below), whose sum is σ = 149879808000. Its totient is φ = 40210992000.

The previous prime is 78220056361. The next prime is 78220056389. The reversal of 78220056375 is 57365002287.

78220056375 is a `hidden beast` number, since 7 + 8 + 2 + 2 + 0 + 0 + 5 + 637 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (78220056361) and next prime (78220056389).

It is not a de Polignac number, because 78220056375 - 29 = 78220055863 is a prime.

It is a super-2 number, since 2×782200563752 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 78220056375.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28979776 + ... + 28982474.

It is an arithmetic number, because the mean of its divisors is an integer number (1170936000).

Almost surely, 278220056375 is an apocalyptic number.

78220056375 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

78220056375 is a deficient number, since it is larger than the sum of its proper divisors (71659751625).

78220056375 is a wasteful number, since it uses less digits than its factorization.

78220056375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3031 (or 3015 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 78220056375 in words is "seventy-eight billion, two hundred twenty million, fifty-six thousand, three hundred seventy-five".

Divisors: 1 3 5 9 15 25 27 31 45 75 93 125 135 155 225 277 279 375 465 675 775 831 837 1125 1385 1395 2325 2493 2699 3375 3875 4155 4185 6925 6975 7479 8097 8587 11625 12465 13495 20775 20925 24291 25761 34625 34875 37395 40485 42935 62325 67475 72873 77283 83669 103875 104625 121455 128805 186975 202425 214675 231849 251007 311625 337375 364365 386415 418345 607275 644025 747623 753021 934875 1012125 1073375 1159245 1255035 1821825 1932075 2091725 2242869 2259063 3036375 3220125 3738115 3765105 5796225 6275175 6728607 9109125 9660375 10458625 11214345 11295315 18690575 18825525 20185821 23176313 28981125 31375875 33643035 56071725 56476575 69528939 93452875 94127625 100929105 115881565 168215175 208586817 280358625 282382875 347644695 504645525 579407825 625760451 841075875 1042934085 1738223475 2523227625 2897039125 3128802255 5214670425 8691117375 15644011275 26073352125 78220056375