Search a number
-
+
1010506764410 = 2511135997871499
BaseRepresentation
bin11101011010001101110…
…01011001000001111010
310120121021221202100200122
432231012321121001322
5113024004212430120
62052115334533242
7133002204530153
oct16550671310172
93517257670618
101010506764410
1135a60a7a7570
12143a14807222
13743a0c68cc0
1436ca1a0292a
151b443d76a25
hexeb46e5907a

1010506764410 has 128 divisors (see below), whose sum is σ = 2144620800000. Its totient is φ = 337968933120.

The previous prime is 1010506764367. The next prime is 1010506764433. The reversal of 1010506764410 is 144676050101.

It is a super-2 number, since 2×10105067644102 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 674119841 + ... + 674121339.

It is an arithmetic number, because the mean of its divisors is an integer number (16754850000).

Almost surely, 21010506764410 is an apocalyptic number.

1010506764410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1010506764410 is an abundant number, since it is smaller than the sum of its proper divisors (1134114035590).

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

1010506764410 is a wasteful number, since it uses less digits than its factorization.

1010506764410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2916.

The product of its (nonzero) digits is 20160, while the sum is 35.

The spelling of 1010506764410 in words is "one trillion, ten billion, five hundred six million, seven hundred sixty-four thousand, four hundred ten".

Divisors: 1 2 5 10 11 13 22 26 55 65 110 130 143 286 599 715 787 1198 1430 1499 1574 2995 2998 3935 5990 6589 7495 7787 7870 8657 10231 13178 14990 15574 16489 17314 19487 20462 32945 32978 38935 38974 43285 51155 65890 77870 82445 85657 86570 97435 102310 112541 164890 171314 194870 214357 225082 428285 428714 471413 562705 856570 897901 942826 1071785 1125410 1179713 1795802 2143570 2357065 2359426 4489505 4714130 5185543 5898565 6128369 8979010 9876911 10371086 11672713 11797130 12256738 12976843 15336269 19753822 23345426 25927715 25953686 30641845 30672538 49384555 51855430 58363565 61283690 64884215 67412059 76681345 98769110 116727130 128399843 129768430 134824118 153362690 168698959 256799686 337060295 337397918 641999215 674120590 706648087 843494795 1283998430 1413296174 1686989590 3533240435 7066480870 7773128957 9186425131 15546257914 18372850262 38865644785 45932125655 77731289570 91864251310 101050676441 202101352882 505253382205 1010506764410