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406112121211604 = 222910121036734951
BaseRepresentation
bin101110001010110110101100…
…0101110010100101011010100
31222020220221100222122100200212
41130111231120232110223110
5411212220111012232404
63555421155524424552
7151353426644004413
oct13425553056245324
91866827328570625
10406112121211604
111084442021148a5
123966b2bb848158
131457b2936b1332
14723dd0822947a
1531e3d9551606e
hex1715b58b94ad4

406112121211604 has 144 divisors (see below), whose sum is σ = 751029275592960. Its totient is φ = 191904007680000.

The previous prime is 406112121211481. The next prime is 406112121211609.

406112121211604 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406112121211609) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82026279329 + ... + 82026284279.

Almost surely, 2406112121211604 is an apocalyptic number.

It is an amenable number.

406112121211604 is a deficient number, since it is larger than the sum of its proper divisors (344917154381356).

406112121211604 is a wasteful number, since it uses less digits than its factorization.

406112121211604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5962 (or 5859 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The spelling of 406112121211604 in words is "four hundred six trillion, one hundred twelve billion, one hundred twenty-one million, two hundred eleven thousand, six hundred four".

Divisors: 1 2 4 29 58 101 103 116 202 206 404 412 673 1346 2692 2929 2987 4951 5858 5974 9902 10201 10403 11716 11948 19517 19804 20402 20806 39034 40804 41612 67973 69319 78068 135946 138638 143579 271892 277276 287158 295829 301687 500051 509953 574316 591658 603374 1000102 1019906 1050703 1183316 1206748 1971217 2000204 2010251 2039812 2101406 3332023 3942434 4020502 4202812 6664046 6865273 7001219 7884868 8041004 13328092 13730546 14002438 14501479 14788637 27461092 28004876 29002958 29577274 30470387 50505151 51505253 58005916 59154548 60940774 96628667 101010302 103010506 121881548 193257334 199092917 202020604 203035351 206021012 336534323 343198369 386514668 398185834 406070702 673068646 686396738 707123119 796371668 812141404 1346137292 1372793476 1414246238 1464649379 1493652337 2828492476 2929298758 2987304674 5202030553 5858597516 5974609348 9759495367 9952752701 10404061106 19518990734 19905505402 20506570451 20808122212 33989966623 34663035269 39037981468 39811010804 41013140902 67979933246 69326070538 82026281804 135959866492 138652141076 150858886037 301717772074 603435544148 985709032067 1005228022801 1971418064134 2010456045602 3500966562169 3942836128268 4020912091204 7001933124338 14003866248676 101528030302901 203056060605802 406112121211604