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406901903088 = 243171935934357
BaseRepresentation
bin1011110101111010011…
…11100100111011110000
31102220021200201101010010
411322331033210323300
523131313341344323
6510532251534520
741253260052312
oct5727517447360
91386250641103
10406901903088
1114762557533a
1266a3a75a440
132c4a8518a75
14159a0aa57b2
15a8b77d6c93
hex5ebd3e4ef0

406901903088 has 160 divisors (see below), whose sum is σ = 1120907025216. Its totient is φ = 126750818304.

The previous prime is 406901903081. The next prime is 406901903123. The reversal of 406901903088 is 880309109604.

It is a super-2 number, since 2×4069019030882 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406901903081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93388206 + ... + 93392562.

Almost surely, 2406901903088 is an apocalyptic number.

406901903088 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406901903088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560453512608).

406901903088 is an abundant number, since it is smaller than the sum of its proper divisors (714005122128).

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

406901903088 is a wasteful number, since it uses less digits than its factorization.

406901903088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5171 (or 5165 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The spelling of 406901903088 in words is "four hundred six billion, nine hundred one million, nine hundred three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 193 204 272 386 408 579 593 772 816 1158 1186 1544 1779 2316 2372 3088 3281 3558 4357 4632 4744 6562 7116 8714 9264 9488 9843 10081 13071 13124 14232 17428 19686 20162 26142 26248 28464 30243 34856 39372 40324 52284 52496 60486 69712 74069 78744 80648 104568 114449 120972 148138 157488 161296 209136 222207 228898 241944 296276 343347 444414 457796 483888 592552 686694 840901 888828 915592 1185104 1373388 1681802 1777656 1831184 1945633 2522703 2583701 2746776 3363604 3555312 3891266 5045406 5167402 5493552 5836899 6727208 7751103 7782532 10090812 10334804 11673798 13454416 14295317 15502206 15565064 20181624 20669608 23347596 28590634 31004412 31130128 40363248 41339216 42885951 43922917 46695192 57181268 62008824 85771902 87845834 93390384 114362536 124017648 131768751 171543804 175691668 228725072 263537502 343087608 351383336 498654293 527075004 686175216 702766672 997308586 1054150008 1495962879 1994617172 2108300016 2991925758 3989234344 5983851516 7978468688 8477122981 11967703032 16954245962 23935406064 25431368943 33908491924 50862737886 67816983848 101725475772 135633967696 203450951544 406901903088