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9950352918724 = 221721942572
BaseRepresentation
bin1001000011001011111101…
…0000000100100011000100
31022020020121012111012200101
42100302333100010203010
52301011310321344344
633055043511453444
72044614010203151
oct220627720044304
938206535435611
109950352918724
113196a148aa039
121148541087284
1357241155435a
14265857629228
15123c715619d4
hex90cbf4048c4

9950352918724 has 135 divisors (see below), whose sum is σ = 19601581780823. Its totient is φ = 4418809675776.

The previous prime is 9950352918721. The next prime is 9950352918733. The reversal of 9950352918724 is 4278192530599.

It is a happy number.

The square root of 9950352918724 is 3154418.

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 6639991005124 + 3310361913600 = 2576818^2 + 1819440^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9950352918721) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 38717326404 + ... + 38717326660.

Almost surely, 29950352918724 is an apocalyptic number.

9950352918724 is the 3154418-th square number.

It is an amenable number.

9950352918724 is a deficient number, since it is larger than the sum of its proper divisors (9651228862099).

9950352918724 is an frugal number, since it uses more digits than its factorization.

9950352918724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 64.

Multiplying 9950352918724 by its sum of digits (64), we get a square (636822586798336 = 252353442).

The spelling of 9950352918724 in words is "nine trillion, nine hundred fifty billion, three hundred fifty-two million, nine hundred eighteen thousand, seven hundred twenty-four".

Divisors: 1 2 4 17 19 34 38 68 76 257 289 323 361 514 578 646 722 1028 1156 1292 1444 4369 4883 5491 6137 6859 8738 9766 10982 12274 13718 17476 19532 21964 24548 27436 66049 74273 83011 92777 104329 116603 130321 132098 148546 166022 185554 208658 233206 260642 264196 297092 332044 371108 417316 466412 521284 1122833 1254931 1411187 1577209 1762763 1982251 2215457 2245666 2509862 2822374 3154418 3525526 3964502 4430914 4491332 5019724 5644748 6308836 7051052 7929004 8861828 19088161 21333827 23843689 26812553 29966971 33492497 37662769 38176322 42667654 47687378 53625106 59933942 66984994 75325538 76352644 85335308 95374756 107250212 119867884 133969988 150651076 362675059 405342713 453030091 509438507 569372449 725350118 810685426 906060182 1018877014 1138744898 1450700236 1621370852 1812120364 2037754028 2277489796 6890826121 7701511547 8607571729 9679331633 13781652242 15403023094 17215143458 19358663266 27563304484 30806046188 34430286916 38717326532 130925696299 146328719393 261851392598 292657438786 523702785196 585314877572 2487588229681 4975176459362 9950352918724