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120929038407076 = 2241259222732
BaseRepresentation
bin11011011111101111111100…
…011000001001010110100100
3120212011200222121110001001011
4123133233330120021112210
5111322300132313011301
61105110011110112004
734320556206304504
oct3337577430112644
9525150877401034
10120929038407076
1135593798627039
1211690a3634b604
135262736c9a473
1421c0dd4cada04
15dea996164a51
hex6dfbfc6095a4

120929038407076 has 81 divisors (see below), whose sum is σ = 220749243692803. Its totient is φ = 57964435624960.

The previous prime is 120929038407061. The next prime is 120929038407077. The reversal of 120929038407076 is 670704830929021.

The square root of 120929038407076 is 10996774.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1616585102500 + 119312453304576 = 1271450^2 + 10923024^2 .

It is a super-2 number, since 2×1209290384070762 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 120929038407076.

It is not an unprimeable number, because it can be changed into a prime (120929038407077) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 53202391476 + ... + 53202393748.

Almost surely, 2120929038407076 is an apocalyptic number.

120929038407076 is the 10996774-th square number.

It is an amenable number.

120929038407076 is a deficient number, since it is larger than the sum of its proper divisors (99820205285727).

120929038407076 is an frugal number, since it uses more digits than its factorization.

120929038407076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4750 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 58.

The spelling of 120929038407076 in words is "one hundred twenty trillion, nine hundred twenty-nine billion, thirty-eight million, four hundred seven thousand, seventy-six".

Divisors: 1 2 4 41 59 82 118 164 236 1681 2273 2419 3362 3481 4546 4838 6724 6962 9092 9676 13924 93193 99179 134107 142721 186386 198358 268214 285442 372772 396716 536428 570884 3820913 5166529 5498387 5851561 7641826 7912313 10333058 10996774 11703122 15283652 15824626 20666116 21993548 23406244 31649252 211827689 225433867 304825211 324404833 423655378 450867734 609650422 648809666 847310756 901735468 1219300844 1297619332 8684935249 12497833651 13300598153 17369870498 17984687449 24995667302 26601196306 34739740996 35969374898 49991334604 53202392612 71938749796 512411179691 737372185409 1024822359382 1474744370818 2049644718764 2949488741636 30232259601769 60464519203538 120929038407076