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48297945309306 = 237112323511933331
BaseRepresentation
bin10101111101101001111011…
…10111111010000001111010
320100000020102211222100011120
422332310331313322001322
522312303142444344211
6250415434134210110
713113261052311510
oct1276647567720172
9210006384870146
1048297945309306
1114431053003020
1255005701b3936
1320c46274049c4
14bcd8c10464b0
1558b518c78d06
hex2bed3ddfa07a

48297945309306 has 128 divisors (see below), whose sum is σ = 125720898895872. Its totient is φ = 11994379320000.

The previous prime is 48297945309287. The next prime is 48297945309349. The reversal of 48297945309306 is 60390354979284.

It is a super-2 number, since 2×482979453093062 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24015061 + ... + 25948391.

It is an arithmetic number, because the mean of its divisors is an integer number (982194522624).

Almost surely, 248297945309306 is an apocalyptic number.

48297945309306 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 48297945309306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62860449447936).

48297945309306 is an abundant number, since it is smaller than the sum of its proper divisors (77422953586566).

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

48297945309306 is a wasteful number, since it uses less digits than its factorization.

48297945309306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1935728.

The product of its (nonzero) digits is 352719360, while the sum is 69.

The spelling of 48297945309306 in words is "forty-eight trillion, two hundred ninety-seven billion, nine hundred forty-five million, three hundred nine thousand, three hundred six".

Divisors: 1 2 3 6 7 11 14 21 22 23 33 42 46 66 69 77 138 154 161 231 253 322 462 483 506 759 966 1518 1771 2351 3542 4702 5313 7053 10626 14106 16457 25861 32914 49371 51722 54073 77583 98742 108146 155166 162219 181027 324438 362054 378511 543081 594803 757022 1086162 1135533 1189606 1784409 1933331 2271066 3568818 3866662 4163621 5799993 8327242 11599986 12490863 13533317 21266641 24981726 27066634 40599951 42533282 44466613 63799923 81199902 88933226 127599846 133399839 148866487 266799678 297732974 311266291 446599461 489132743 622532582 893198922 933798873 978265486 1467398229 1867597746 2934796458 3423929201 4545261181 6847858402 9090522362 10271787603 13635783543 20543575206 27271567086 31816828267 49997872991 63633656534 95450484801 99995745982 104541007163 149993618973 190900969602 209082014326 299987237946 313623021489 349985110937 627246042978 699970221874 731787050141 1049955332811 1149951078793 1463574100282 2099910665622 2195361150423 2299902157586 3449853236379 4390722300846 6899706472758 8049657551551 16099315103102 24148972654653 48297945309306