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1070577031326 = 231131231353927
BaseRepresentation
bin11111001010000110101…
…11010001100010011110
310210100100100120002112020
433211003113101202132
5120020020210000301
62135452153121010
7140226616422525
oct17450327214236
93710310502466
101070577031326
11383035908160
1215359a0b9166
1379c5512933a
1439b5d9474bc
151ccac859436
hexf9435d189e

1070577031326 has 96 divisors (see below), whose sum is σ = 2421339588864. Its totient is φ = 312943363200.

The previous prime is 1070577031297. The next prime is 1070577031333. The reversal of 1070577031326 is 6231307750701.

It is a super-2 number, since 2×10705770313262 (a number of 25 digits) contains 22 as substring.

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, 19825375 + ... + 19879301.

It is an arithmetic number, because the mean of its divisors is an integer number (25222287384).

Almost surely, 21070577031326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1070577031326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210669794432).

1070577031326 is an abundant number, since it is smaller than the sum of its proper divisors (1350762557538).

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

1070577031326 is a wasteful number, since it uses less digits than its factorization.

1070577031326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54318 (or 54287 counting only the distinct ones).

The product of its (nonzero) digits is 185220, while the sum is 42.

The spelling of 1070577031326 in words is "one trillion, seventy billion, five hundred seventy-seven million, thirty-one thousand, three hundred twenty-six".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 313 341 626 682 939 961 1023 1878 1922 2046 2883 3443 5766 6886 9703 10329 10571 19406 20658 21142 29109 31713 53927 58218 63426 106733 107854 161781 213466 300793 320199 323562 593197 601586 640398 902379 1186394 1671737 1779591 1804758 3308723 3343474 3559182 5015211 6617446 9926169 10030422 16879151 18389107 19852338 33758302 36778214 50637453 51823847 55167321 101274906 103647694 110334642 155471541 185670661 310943082 371341322 523253681 557011983 570062317 1046507362 1114023966 1140124634 1569761043 1710186951 3139522086 3420373902 5755790491 11511580982 16220864111 17267371473 32441728222 34534742946 48662592333 97325184666 178429505221 356859010442 535288515663 1070577031326