Search a number
-
+
70251212556 = 223271726960961
BaseRepresentation
bin100000101101101001…
…1000110111100001100
320201022221001100201100
41001123103012330030
52122333302300211
652134543143100
75034614311530
oct1013323067414
9221287040640
1070251212556
112787aa83858
1211746ba4a90
1368174c2c35
143586129bc0
151c626d4156
hex105b4c6f0c

70251212556 has 144 divisors (see below), whose sum is σ = 215688432960. Its totient is φ = 18820546560.

The previous prime is 70251212513. The next prime is 70251212593. The reversal of 70251212556 is 65521215207.

70251212556 is a `hidden beast` number, since 70 + 2 + 512 + 1 + 25 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 70251212556.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1121916 + ... + 1182876.

It is an arithmetic number, because the mean of its divisors is an integer number (1497836340).

Almost surely, 270251212556 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 70251212556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107844216480).

70251212556 is an abundant number, since it is smaller than the sum of its proper divisors (145437220404).

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

70251212556 is a wasteful number, since it uses less digits than its factorization.

70251212556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61264 (or 61259 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 70251212556 in words is "seventy billion, two hundred fifty-one million, two hundred twelve thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 269 306 357 476 538 612 714 807 1071 1076 1428 1614 1883 2142 2421 3228 3766 4284 4573 4842 5649 7532 9146 9684 11298 13719 16947 18292 22596 27438 32011 33894 41157 54876 60961 64022 67788 82314 96033 121922 128044 164628 182883 192066 243844 288099 365766 384132 426727 548649 576198 731532 853454 1036337 1097298 1152396 1280181 1706908 2072674 2194596 2560362 3109011 3840543 4145348 5120724 6218022 7254359 7681086 9327033 12436044 14508718 15362172 16398509 18654066 21763077 29017436 32797018 37308132 43526154 49195527 65289231 65594036 87052308 98391054 114789563 130578462 147586581 196782108 229579126 261156924 278774653 295173162 344368689 459158252 557549306 590346324 688737378 836323959 1033106067 1115098612 1377474756 1672647918 1951422571 2066212134 2508971877 3345295836 3902845142 4132424268 5017943754 5854267713 7805690284 10035887508 11708535426 17562803139 23417070852 35125606278 70251212556